Advertisements
Advertisements
Question
The length of a rectangle is 16 cm and its perimeter is equal to the perimeter of a square with side 12.5 cm. Find the area of the rectangle.
Advertisements
Solution
Length of the rectangle = 16 cm
Let its breadth be x cm
Perimeter = 2 (16 + x) = 32 + 2x
Also perimeter = 4(12.5) = 50 cm.
According to statement,
32 + 2x = 50
=> 2x = 50 – 32 = 18
=> x = 9
Breadth of the rectangle = 9 cm.
Area of the rectangle (l x b)= 16 x 9 = 144 cm2
APPEARS IN
RELATED QUESTIONS
The area of a small rectangular plot is 84 m2. If the difference between its length and the breadth is 5 m; find its perimeter.
In each of the following cases, ABCD is a square and PQRS is a rectangle. Find, in each case, the area of the shaded portion.
(All measurements are in metre).
(i)
(ii)
Each side of a square plot of land is 55 m. Find the cost of fencing the plot at the rate of ₹32 per meter.
Find the perimeter of an isosceles triangle with each equal side = 13 cm and the third side = 10 cm.
Find the perimeter of a regular hexagon of side 6.5 cm.
An equilateral triangle and d square has equal perimeter. If side of the triangle is 9.6 cm ; what is the length of the side of the square?
A rectangle with length = 18 cm and breadth = 12 cm has same perimeter as that of a regular pentagon. Find the side of the pentagon.
The perimeter of a square field is numerically equal to its area. Find each side of the square.
If we take 4 rounds around a field that is 160 m long and 90 m wide, what is the distance we walk in kilometers?
If every side of a rectangle is doubled, then its area becomes _______ times
