A rectangle has an area of 84 square feet. the length is twice the width. draw a rectangle and draw a line dividing it in two to

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A rectangle has an area of 84 square feet. the length is twice the width. draw a rectangle and draw a line dividing it in two to

create two squares. what is the width of the rectangle and what is the length of the rectangle. write your answer to the nearest tenth. the width is approximately square feet and the length is approximately square feet.

Mathematics

1 answer:

algol13 · Answer 1 · 2024-05-31T01:46:21+03:00

The width and length of the rectangle are 6.4 feet and 12. 96 meters respectively.

<h3>How to determine the dimensions</h3>

The formula for determining the area of a rectangle is expressed as;

Area = width × length

Given that;

Area = 84 square feet
length = 2w

Let's substitute into the formula

84 = w(2w)

84 = 2w²

Divide both sides by 2

84/ 2 = w²

42 = w²

Take square root of both sides

w = √42

w = 6.4 feet

Length = 2w = 2 × 6. 4 = 12. 96 meters

Thus, the width and length of the rectangle are 6.4 feet and 12. 96 meters respectively.

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