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user100 [1]
2 years ago
8

Bill's new porch is rectangular, with an area of 50 square feet. if the length of the porch is two times the width, what is the

perimeter of the porch?
Mathematics
1 answer:
Vikki [24]2 years ago
3 0

Answer  

Find out the what is the perimeter of the porch .

To prove

Formula

Area of rectangle = Length × Breadth

As given

Bill's new porch is rectangular, with an area of 50 square feet.

if the length of the porch is two times the width .

Let us assume that the width be x.

Let us assume that the length = 2x

Put in the formula

50 = x × 2x

50 = 2x²

x^{2} = \frac{50}{2}

x² = 25

x = \sqrt{25}

x = 5 feet

Therefore the  width be 5 feet.

The length = 5 × 2

                  = 10 feet

Formula

Perimeter of a rectangle = 2 (Length + Breadth)

Put all the values in the formula

Thus

Perimeter of the porch = 2 × (5 + 10)

                                      = 2 × (15)

                                      = 30 feet

Therefore the perimeter of the porch is 30 feet .




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