The area of a rectangular playground enclosure at francis lewis hw is 500 square meters. the lenght of the playground is 5 meters longer than the width. find the dimension of the playground, in meters.

Question

Mathematics

Guest

27 June, 09:57

The area of a rectangular playground enclosure at francis lewis hw is 500 square meters. the lenght of the playground is 5 meters longer than the width. find the dimension of the playground, in meters.

+5

Answers (1)

Know the Answer?

Leila Mitchell · Answer 1

A=L*W

L=W+5

A = (W+5) W

500=W²+5W

W²+5W-500=0

W = (-5+/-√ (25+4*500)) / 2 = (-5+/-√2025) / 2 = (-5+/-45) / 2

we are going to take only positive value, so W = (-5+45) / 2=20

L=W+5=20+5=25

W=20,

L=25