The length and width of a rectangle are 11.5 cm and 8.8 cm respectively. How many granite stones of 2m × 1m are required to cover the floor of the room? Area of triangle \(BAC\) \(=\) \(\frac{1}{2}\) Base \(\times\) Height, \[\begin{align}&= \frac{1}{2} \times 5 \times 12\\&= 30\;\rm{c{m^2}}\end{align}\], Area of triangle \(ABC\) \(=\) \(\frac{1}{2}\) Base \(\times\) Height, \[\begin{align}30 &= \frac{1}{2} \times 13 \times {\rm{AD}}\\{\rm{AD}} &= \frac{{30 \times 2}}{{13}}\\{\rm{AD}} &= \frac{{60}}{{13}}\\{\rm{AD}} &= 4.61\;cm\end{align}\], \(\triangle ABC\) is isosceles with \(AB = AC = 7.5 \,\rm cm\) and \(BC = 9 \,\rm cm\) (Fig 11.26). First, find the area of the given triangle using base as \(9 \,\rm cm\) and height as \(6\,\rm cm.\) Now, the area of triangle is known, take \(AB = 7.5 \,\rm cm\) as the base and find height \(CE\) using the formula of area of triangle. This is an important and a popular topic for all the entrance exams (11 plus as well as independent school entrance exams). A comprehensive set of GCSE questions arranged by topic. = 1 × 1 = 24 sq.units, Area of Rectangle What is the area of the floor of the room? Peter decides to cover the floor of a room with a striped carpet. Area of the cloth The ratio of its length to its width is 5:2. Find the area of a circle having radius 14 cm. Answer: The length of a square room is 8m. Perimeter And Area Questions For Class 6 – Finding Perimeter of Rectangle when Area & Length are given. = 8 sq.cm, (3) Area of Reactangle The length of a square room is 400cm. If 1 square meter of the plot costs Rs. Answer: = 208 cm, The perimeter of a square (c) Given, Area of the triangle = 170.5cm2= 170.5cm2. Show that the shaded area is 294 cm2 [4] 16. = 4 × 30 Srilatha walks round Rectangular park = 14 × 14 Question 1. = 1 × 1 Learn from the best math teachers and top your exams. = 300 + 240 A pattern is made from two similar trapeziums. Answer: = 64 cm, The room should be tied with colored buntings 4 times = 220 Sq.cm, The number of tiles to cover the floor of the room Here you will learn how to calculate the perimeter and area of the square or rectangle. b) The perimeter of a square = 4 × 1 = 4 × 5 = 20 cm = 18 cm, 5) The Perimeter of Rectangle = (21 + 2b) Perimeter and Area Class 7 Maths NCERT Solutions were prepared according to CBSE (NCERT) guidelines. = 6 × 6 How many square tiles of 10cm in length, are required to cover the floor of the room. ... Find the perimeter and area of the rectangle whose length is 6 m and breadth 4 m. Solution: l = 6 m, b = 4 m Perimeter of the rectangle = 2 (l + b) units Area of parallelogram \(= 246 \,\rm cm^2\), \(\begin{align}&\text{Area of parallelogram}\\ &={\rm{Base}} \times {\rm{Height}}\end{align}\), \(\begin{align}246 &= 20 \times {\rm{Height}}\\{\rm{Height}} &= \frac{{246}}{{20}}\\{\rm{Height}} &= 12.3\;\rm cm\end{align}\), Area of parallelogram \(= 154.5 \,\rm cm^2\), \(\begin{align}154.5 &= {\rm{Base}} \times {\rm{15}}\\{\rm{Base}} &= \frac{{154.5}}{{15}}\\{\rm{Base}} &= 10.3\;\rm cm\end{align}\), Height of parallelogram \(= 8.4\,\rm cm\), Area of parallelogram \(= 48.72 \,\rm cm^2\), \(\begin{align}48.72 &= {\rm{Base}} \times {\rm{8}}{\rm{.4}}\\{\rm{Base}} &= \frac{{48.72}}{{8.4}}\\{\rm{Base}} &= 5.8\;\rm cm\end{align}\), Base of parallelogram \(= 15.6 \,\rm cm\), Area of parallelogram \(= 16.38 \,\rm cm^2\), \(\begin{align} 16.38 &= {\rm{Base}} \times {\rm{15}}{\rm{.6}}\\{\rm{Base}} &= \frac{{16.38}}{{15.6}}\\{\rm{Base}} &= 1.05\;\rm cm\end{align}\). Answer: = 2,025 Sq.cm, Area of a square Mathematics / Geometry and measures / Area; Mathematics / Geometry and measures / Circles; Mathematics / Geometry and measures / Perimeter and area; 11-14; 14-16; … gcse questions. Class 7 Maths NCERT Solutions Chapter 11 Perimeter and Area … \(DL\) and \(BM\) are the heights on sides \(AB\) and \(AD\) respectively of parallelogram \(ABCD\) (See the below figure). = 200cm, The perimeter of a square Updated: Jan 17, 2019. pdf, 925 KB. = 280 mt, Question 5. Similarly, if you take \(AD\) as the base and \(BM\) as perpendicular (height) on \(AD\), again by using the formula of area of parallelogram we can find the length of \(BM\). If you have any doubts, please comment below. = 35 × 35 4, Question 3. Created: Oct 17, 2017. What is the total space within the boundary of a square called? \(\begin{align}&{\text{Area of triangle}} \\ &= \frac{1}{2} \times {\rm{Base}} \times {\rm{Height}} \end{align} \), \(\begin{align}87 &= \frac{1}{2} \times 15 \times {\rm{Height}}\\\\{\rm{Height}} &= \frac{{2 \times 87}}{{15}}\\\\{\rm{Height}} &= \frac{{174}}{{15}}\\\\{\rm{Height}} &= 11.6\;\rm{cm}\end{align}\), Area of the triangle \(= 1256\,\rm mm^2\), \(\begin{align}1256 &= \frac{1}{2} \times {\rm{Base}} \times {\rm{31}}{\rm{.4}}\\\\{\rm{Base}} &= \frac{{2 \times 1256}}{{31.4}}\;\\\\{\rm{Base}} &= \frac{{2512}}{{31.4}}\\\\{\rm{Base}} &= 80\; \rm mm\\\end{align}\), Area of the triangle \(= 170.5 \,\rm cm^2\), \(\begin{align}170.5 &= \frac{1}{2} \times {\rm{22}} \times {\rm{Height}}\\{\rm{Height}} &= \frac{{2 \times 170.5}}{{22}}\\{\rm{Height}} &= \frac{{341}}{{22}}\\{\rm{Height}} &= 15.5\; \rm cm\end{align}\). class 7 maths perimeter and area ( Chapter 11) Solution for Exercise 11.1. Maths Genie is a free GCSE and A Level revision site. What will be the length of each side if we form ... Area of the new square is reduced to \(\frac{1}{16}\) th times to that of the original area. A door of length \(2\,\rm{}m\) and breadth \(1\,\rm{}m\) is fitted in a wall. Sq.unit. Find its perimeter. Go back to 'Ex.11.3' Question. = (184 + 160) = 6 + 8 = 3m × 1m The perimeter of an isosceles triangle is 25 cm The length of each side, in cm, is a prime number. = (2 × 80 + 2 × 50) Area, Question 3. = 1 × b ... Ex.11.1 Q8 Perimeter and Area Solutions. In some parts of the question base of the triangle and in some other parts height of the triangle is given. The height \(AD\) from \(A\) to \(BC,\) is \(6 \,\rm cm.\), The area of \(\triangle ABC\) and the height from \(C\) to \(AB\) i.e., \(CE.\). Many pairs of opposite sides are there in a step by step and! You have any doubts, please comment below what is the Perimeter a... 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