Question

A rectangular lawn has a perimeter of 15.8 meters and the length is 3.1 meters longer than the width. What are the dimensions of the lawn? If the width of the fixture is w meters, find w to one decimal place.

Answer 1

w is 4.8 meters

Explanation:

-perimeter is 15.8 m so all the sides of the rectangle adds up to 15.8.

- a rectangle has 2 sets of equal sides.

-first, do 3.1 times 2 to get the length of the first set of equal sides. This equals to 6.2.

-now 15.8 - 6.2 = 9.6 meters

- 9.6 divided by 2 to find the width, as well as the measurements of the second set of equal sides.

the width, w, is 4.8 meters.

Answer 2

2W + 2(W + 3.1) = 15.8
2W + 2W + 6.2 = 15.8
4W + 6.2 = 15.8
4W = 9.6
W = 2.4

Perimeter
2.4 + 2.4 + (2.4 + 3.1) + (2.4 + 3.1) = 15.8