Source: Magoosh
If a rectangle has a perimeter of 20 and a diagonal with length 9, what is the area of the rectangle?
A. 7.5
B. 8
C. 8.5
D. 9
E. 9.5
The OA is E
If a rectangle has a perimeter of 20 and a diagonal
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We can create the equations:BTGmoderatorLU wrote:Source: Magoosh
If a rectangle has a perimeter of 20 and a diagonal with length 9, what is the area of the rectangle?
A. 7.5
B. 8
C. 8.5
D. 9
E. 9.5
The OA is E
2W + 2L = 20
W + L = 10
And
L^2 + W^2 = 9^2
L^2 + W^2 = 81
Squaring the first equation we have:
W^2 + L^2 + 2LW = 100
Substituting we have:
81 + 2LW = 100
2LW = 19
LW = 9.5
Answer: E
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