Question

If the length of a certain rectangle is decreased by 4 cm and width is increased by 3 cm, a square with the same area as the original rectangle would result. Find the perimeter of the original rectangle. pls explain the sum ​

Answer 1

Answer:

50m

Step-by-step explanation:

Let length = l

length =ω⇒

(1) l − 4 = ω+3 ... (1)

⇒l = ω + 7

(2) l.ω = (l−4) (ω+3)

(ω+7) (ω) = (ω+3)^2

ω^2 + 7ω = ω^2 + 9 + 6ω

ω=9⇒l = 16

∴ Perimeter = 2(l+ω)

=2 (9+16) = 2×25

=50m