The perimeter of a rectangle is 30 cm and its length is x cm. Find its area in terms of x. step by step explanation.

Question

asked Jun 4, 2021 142k views

1 Answer

Teemitzitrone · Answer 1 · 2021-06-08T01:25:18+0000

Answer:

The area of the rectangle in terms of 'x' = 13x

Explanation:

Using the perimeter formula to find the width w.

P=2(l+w)

P = 2l + 2w

2w = P-2l

Dividing both sides by 2

$w\:=\:(P)/(2)-2$

as P = 30 cm

$w\:=\:(30)/(2)-2$

$w\:=\:15-2$

w = 13 cm

Using the formula of the rectangle area

A = wl

substitute w = 13 and l = x in the formula

$A=13* \:x$

A = 13x

Therefore, the area of the rectangle in terms of 'x' = 13x