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Sergeu [11.5K]
3 years ago
7

the perimeter of a rectangle is 90 inches. The width of the rectangle is 13 inches less than the length of the rectangle. Find t

he dimensions of the rectangle.​
Mathematics
1 answer:
Rama09 [41]3 years ago
6 0

Answer:

The area of the rectangle is 2820 square inches. The length is 60 inches. The width is 47 inches.

Step-by-step explanation:

Since we know the equation to find the width, we have to set them both to the perimeter of 90 inches. We will use the variable <em>x</em> to represent the length.

    <em>x + x - 30 = 90</em>

    <em>2x - 30 = 90</em>

<em />

You would then subtract 30 from both sides.

    <em>2x = 60</em>

Divide by 2 on both sides, finding that the length (x) is 30 inches.

<em>     x = 30 inches.</em>

<em></em>

Then, subtract 13 inches from the length to find your width.

    <em>60 - 13 = 47 inches</em>

<em />

To find your area, you would multiply both of your factors (length and width) together.

<em>     60 x 47 = 2,820</em>

<em />

And those are your answers!

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