(b) The length of a rectangle is three times its breadth. The perimeter of the rectangle is equal to that of a square whose area is 625 cm. Find the area of the rectangle.
Answers
Answer:
468.75 cm2
l = 37.5
b = 12.5
Step-by-step explanation:
length = 3 × breadth
P(rectangle) = P(Square)
P(Square) = 4a
a = sqrt(625)
we will go from the bottom to top
a = 25
P(square) = 4 × 25
= 100
P(rectangle) = 2(l+b)
= 100
we have 2 eqns:
2(l+b) = 100
l = 3b
on replacing the value of l in first eqn, we get:
2((3b) + b) = 100
8b = 100
b = 100/8
= 12.5
because l = 3b
l = 3(12.5)
l = 37.5
A(rectangle) = l × b
= 37.5 × 12.5
= 468.75 cm2