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The length of a rectangle is one greater than three times its width. If the perimeter of the rectangle is 26 feet, what is the area of the rectangle?
A. 13 ft2
B. 24 ft2
C. 30 ft2
D. 78 ft2
E. 100 ft2
Correct Answer: C
Explanation/Reference:
Explanation:
The perimeter of a rectangle is equal to 2l + 2w, where l is the length of the rectangle and w is the width of the rectangle. If the length is one greater than three times the width, then set the width equal to x and set the length equal to 3x + 1: 2 x (3x + 1) + 2x = 26
6x + 2 + 2x = 26 8x = 24 x = 3
The width of the rectangle is 3 ft and the length of the rectangle is 10 ft. The area of a rectangle is equal to lw; 10 ft x 3 ft = 30 ft2.
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