Question

Two rectangular lawns are similar shapes.

One has an width of 550 feet and one of the width of 250 feet. The bigger lawn has an area
of 181,500 square feet. Find the area of the smaller lawn

Answer 1

The answer to your question is Area = 37500 ft²

Explanation:

Data

lawn 1 lawn 2

width = 550 ft width = 250 ft

Area = 181500 ft² Area = ?

Process

1.- Find the length of lawn 1

Area = length x width

-solve for length

length = Area/width

-Substitution

length = 181 500 ft²/ 550

-result

length = 330 ft

2.- Find the length of lawn 1 using ratios and proportions

550 : 330 :: 250 : x

x = (250 x 330) / 550

x = 150 ft

3.- Find the area of lawn 2

-Substitution

Area = 250 x 150

-Result

Area = 37500 ft²