Answer:
length = 13 in, width = 7 in , area = 91 in²
Explanation:
let width be w then length = 2w - 1
perimeter(P) of rectangle is calculated as
P = 2 × length + 2× width
= 2(2w - 1) + 2w
= 4w - 2 + 2w
= 6w - 2
given P = 40 , then
6w - 2 = 40 ( add 2 to both sides )
6w = 42 ( divide both sides by 6 )
w = 7
then
width = 7 in and length = 2w - 1 = 2(7) - 1 = 14 - 1 = 13 in
the area (A) of a rectangle is calculated as
A = length × width = 13 × 7 = 91 in²