Question

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?

Answer 1

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 .

Answer 2

The perimeter of.the porch as described is; 30ft

Perimeter and Area of a porch

Let the width of the porch be x.

Hence, the length is; 2x

Therefore, Area = 2x × x = 50 ft².

• Area = 2x² = 50ft²

• x² = 50/2 = 25

• x = √25

x = 5ft.

On this note, Perimeter of the porch is;

• P = 2(2x + x)

• P = 2(3x)

• P = 2(3(5))

P = 30ft.

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