Question

The width of a rectangle is three times its height. If it has an area of 60.75 square feet, what are its dimensions?

a. 5.75 ft by 3.5 ft
2 by 21.1 ft
b. 16.2 ft by 3 ft
d. 13.5 ft by 4.5 ft

Answer 1

d. 13.5 ft by 4.5 ft

Explanation:

Let height of rectangle be x ft

Therefore, width = 3x ft

`area \: of \: rectangle = 60.75 \: {ft}^(2) \\ \therefore \: lw = 60.75 \\ \therefore \: 3x * x = 60.75 \\ \therefore \: 3x^(2) = 60.75 \\ \therefore \: x^(2) = (60.75)/(3) \\ \therefore \: x^(2) = 20.25 \\ \therefore \:x = √(20.25) \\ \therefore \:x = 4.5 \: ft\\ \therefore \:3x =3 * 4.5 = 13.5 \: ft`

Answer 2

The answer is D my dude don’t over think. Since it’s are multiply your answer choices till you reach 60.75