Advertisements
Advertisements
प्रश्न
Perimeter of a square and a rectangle is same. If a side of the square is 15 cm and one side of the rectangle is 18 cm, find the area of the rectangle.
उत्तर
Let breadth of rectangle = b cm
Given, length of rectangle = 18 cm
And side of a square = 15 cm
∴ Perimeter of a square = 4 × Side = 4 × 15 = 60 cm
Given, Perimeter of rectangle = Perimeter of square
⇒ 2 × (Length + Breadth) = 60
⇒ 2(18 + b) = 60
⇒ `(2 xx (18 + b))/2 = 60/2` ......[Dividing both sides by 2]
⇒ 18 + b = 30
⇒ b = 30 – 18 ......[Transposing 18 to RHS]
⇒ b = 12
Now, Area of rectangle = Length × Breadth
= 18 × 12
= 216 sq cm
APPEARS IN
संबंधित प्रश्न
Is this shape half of the big rectangle?
Hmmm...... So its area is ______ square cm.
The length and breadth of a rectangle are as given below:
9m and 6m
The area of a rectangular garden 50 m long is 300 sq m. Find the width of the garden.
What is the cost of tiling a rectangular plot of land 500 m long and 200 m wide at the rate of ₹ 8 per hundred sq m.?
By splitting the following figure into rectangles, find their areas (The measures are given in centimetres).
Split the following shape into rectangle and find their area. (The measures are given in centimetres)
A wall of a room is of dimensions 5 m × 4 m. It has a window of dimensions 1.5 m × 1 m and a door of dimensions 2.25 m × 1 m. Find the area of the wall which is to be painted.
A 10 m long and 4 m wide rectangular lawn is in front of a house. Along its three sides a 50 cm wide flower bed is there as shown in the given figure. Find the area of the remaining portion.
A school playground is divided by a 2 m wide path which is parallel to the width of the playground, and a 3 m wide path which is parallel to the length of the ground in the given figure. If the length and width of the playground are 120 m and 80 m respectively, find the area of the remaining playground.
4 squares each of side 10 cm have been cut from each corner of a rectangular sheet of paper of size 100 cm × 80 cm. From the remaining piece of paper, an isosceles right triangle is removed whose equal sides are each of 10 cm length. Find the area of the remaining part of the paper.
