Algebra Help

Question

The area of a rectangular field is equal to 300 sq meters. Its perimeter is equal to 70 meters. Find the length and width of this rectangle.

Answer 1

l = length

w = width

 

l · w = 300

2l + 2w = 70

2l = 70 - 2w

l = 35 - w

 

(35 - w)w = 300

35w - w² = 300

0 = w² - 35w + 300

0 = (w - 20)(w - 15)

 

{15, 20}

 

the width is 15 and the length is 20.