the length of a rectangle is 4 more than twice its width if the perimeter of the triangle is 106 what are the numerical values o
f the length and with
1 answer:
Answer:
12 feet
Explanation:
Let the length and width of the rectangle be 2w + 4 and w.
Area of the rectangle is Length X Breadth i.e.,
(2w + 4) x w = 48
=> 2w^2 + 4w = 48
=> 2w^2 + 4w - 48 = 0
=> w^2 + 2w - 24 = 0
=> w^2 + 6w - 4w - 24 = 0
=> w(w+ 6) - 4(w + 6) = 0
=> (w - 4)(w + 6) = 0
=> w = 4, -6.
Negative value of w is inappropriate.
Hence, width w is 4 feet.
Length is 2 x 4 + 4 = 8 + 4 = 12 feet
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