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Answered

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The perimeter of a rectangle with length l and width w is 44 inches. The area of the rectangle is at most 120.
Which of the following statements is true?
A. If w 12 inches, then l 10 inches
B. If w 12 inches, then l 10 inches
C. If w 12 inches, then l 10 inches
D. If w 12 inches, then l 10 inches

Sagot :

MrRoyal

The true statement about the rectangle  is A. If w is 12 inches, then l is 10 inches

How to determine the true statement?

The given parameters are:

  • Perimeter, P = 44
  • Area = 120 (at most)

The perimeter of a rectangle is:

P = 2(L + W)

So, we have:

2(L + W) = 44

Divide by 2

L + W = 22

The area is calculated as:

A = LW

This gives

LW = 120

Express 120 as 12 * 10 and 10 * 12

LW =12 * 10 or LW = 10 * 12

By comparison, we have:

L = 12 and W = 10 or L = 10 and W = 12

When these values are substituted in L + W = 22, we have:

10 + 12 = 22 and 12 + 10 =22

This means that the dimensions of the rectangle are 10 by 12 inches or 12 by 10 inches

Hence, the true statement is A. If w is 12 inches, then l is 10 inches

Read more about rectangles at:

https://brainly.com/question/24571594

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