Question

2) The perimeter of a rectangle is 238 inches. The width is 14 less than 3/4 of the length. Find the area of

the rectangle.

Answer 1

Area=3268inches^2

Answer 2

`Area=3268inches^2`

Explanation:

Perimeter=238 inches

`Width=(3)/(4)*Length-14`

`W=(3)/(4)*L-14`

Perimeter of a rectangle= 2(Length+Width)

`238=2(L+((3)/(4)L-14) )\\\\238=2(L+((3L-56)/(4) ))\\\\238=2((4L+(3L-56))/(4) )\\\\238=2(((7L-56))/(4) )\\\\238=(7L-56)/(2) \\\\238*2=7L-56\\\\7L-56=476\\\\7L=476+56\\\\7L=532\\\\L=532/7\\\\L=76 inches`

Width is:

`W=(3)/(4)*L-14`

Width
`=((3)/(4)*76)-14 \\\\=(3*19)-14\\\\=57-14\\\\=43inches`

Area of a rectangle:

`Length*Width\\\\=76*43\\\\=3268 inches^2`

`Area=3268inches^2`