Sam’s new porch is 50 ft.² size and rectangular. What is the perimeter of the porch of the length of the porch is two times the width.

1 answer

Let x be the width of the porch.

Since the length of the porch is two times the width, the length would be 2x.

Given that the area of the porch is 50 ft², we have:
x * 2x = 50
2x² = 50
x² = 25
x = 5 ft

Therefore, the width of the porch is 5 ft, and the length is 2 * 5 = 10 ft.

The perimeter of a rectangle is given by P = 2(l + w), where l is the length and w is the width. Therefore, the perimeter of the porch is:
P = 2(10 + 5) = 2 * 15 = 30 ft

So, the perimeter of Sam's porch is 30 ft.