Arectangle school banner has a length of 44 inches, a perimeter of 156 inches , and an area of 1496 square inches. the cheerleaders make signs similar to the banner. the length of a sign is 11 inches. what is its perimeter and its area ?

For the school banner we have:

Where,

w: width of the banner

l: length of the banner

Substituting values we have:

Clearing the width we have:

Then, for the cheerleaders we have:

The ratio of measures is:

Therefore, the width is given by:

Then, the perimeter is given by:

Substituting values we have

The area is given by:

Substituting values we have

Its perimeter and its area are:

P = 39 inches

A = 93.5 square inches

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step-by-step explanation: