Question

The width of a rectangle is fifteen feet less than its length. If the area of the rectangle is 54 square feet, find the width.

Answer 1

Answer:

3 ft

Step-by-step explanation:

It is because 3 times 18 is 54 and 3 is 15 less than 18

Answer 2

The width of a rectangle is 3 feet .

What is area of rectangle?

The area can be defined as the amount of space covered by a flat surface of a particular shape. It is measured in terms of the "number of" square units (square centimeters, square inches, square feet, etc.)

According to the question

Let length of rectangle = x

The width of a rectangle is fifteen feet less than its length.

i.e,

Width of a rectangle = x - 15

Now,

Area of the rectangle = 54 square feet .

Length * Width = 54

x (x - 15 ) = 54

$x^{2}$ - 15x - 54 = 0

$x^{2}$ - (18-3)x - 54 = 0

$x^{2}$ - 18x + 3x - 54 = 0

x(x-18) +3(x-18) = 0

(x-18) (x+3) = 0

x= 18 , -3

length of rectangle = 18 feet

Width of a rectangle = 18 - 15

                                  = 3 feet

Hence, The width of a rectangle is 3 feet .

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