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If the length of a rectangle is 4 feet and its perimeter is 30 feet what is its area?
Wiki User
∙ 11y ago
The rectangle is 4 feet by 11 feet and its area is 44 square feet.
(Normally the "length" would be given as the longer side.)
Perimeter is the sum of the measures of the sides of a figure. The formula for the perimeter of a rectangle is P = 2L + 2W, with L standing for length and W standing for width. Simply stated, you add up the two longer sides and the two shorter sides. If the perimeter is 30 and the length is 4, you can substitute those values into the formula and solve for the unknown quantity, W, the width. So, 30 = 2(4) + 2W. Then, 2W = 22 and W = 11. Now that you know the width of the rectangle, you can find its area. The formula for the area of a rectangle is A = LW, or area equals the length times the width, measured in square units. So in this example, the area = 4 x 11 or 44 square feet.
P = 2L + 2 W
P = 8 + 2W = 30
2W = 30 - 8 = 22
W = 11
A = W x L = 11 x 4 = 44
Wiki User
∙ 11y ago
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