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Citrus2011 [14]
2 years ago
10

A trapezoid has a perimeter of 14 feet. What will the perimeter be if each side length is increased by a factor 7? 21 feet 98 fe

et 196 feet 686 feet
Mathematics
2 answers:
natka813 [3]2 years ago
7 0

Answer:

Correct choice is B

Step-by-step explanation:

Let a, b, c and d be the trapezoid's sides lengths.

The perimeter of the trapezoid is the sum of all sides lengths, thus,

a+b+c+d=14\ ft.

If each side length is increased by a factor 7, then new sides have lengths 7a, 7b, 7c and 7d. The perimeter of new trapezoid is

7a+7b+7c+7d.

Use the distributive property for this expression:

7a+7b+7c+7d=7(a+b+c+d).

Since a+b+c+d=14\ ft, then

7a+7b+7c+7d=7(a+b+c+d)=7\cdot 14=98\ ft.

Ratling [72]2 years ago
3 0

The correct answer is:

B. 98 feet

The perimeter be 98 feet if each side length is increased by a factor 7.

|Huntrw6|

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