Question

The length of a rectangle is 10 inches longer than its width. If the area of the rectangle is 144 square inches, what are its dimensions? Write an equation is standard form that can be used to find the dimensions.

Answer 1

Answer:

L= 18 in

W= 8 in

Step-by-step explanation:

Step one:

The length of a rectangle is 10 inches longer than its width

let the width be x

so the lenght is x+10

the area of the rectangle is 144 square inches

Step two:

$Area= L*W\\\\144=x(x+10)\\\\144=x^2+10x\\\\x^2+10x-144=0$

the factors for the quadratic expression is

18 and -8

$x^2+18x-8x-144=0\\\\x(x+18)-8(x+18)=0\\\\x-8=0\\\\x=8\\\\x+18=0\\\\x=-18$

the width is 8 in

the length is 8+10= 18 in