Respuesta :
Answer: Length = 10 inches, Width = 7 inches
Step-by-step explanation:
Area = L x W
Area = 70 square inches
Length = 2W - 4
70 = 2w - 4 x w
70 = 2w^2 - 4w
2w^2 - 4w = 70
2w^2 - 4w - 70 = 0
Factor
(2w + 10)(w-7) = 0
w = 7
70 = L x 7
L = 10
The dimensions of the rectangle are Length = 10 inches, Width = 7 inches
What is a rectangle?
A rectangle is a quadrilateral with four sides and the two opposite sides are equal and parallel the two sides are also perpendicular to each other.
Area = L x W
Area = 70 square inches
Length = 2W - 4
70 = 2w - 4 x w
70 = 2w^2 - 4w
2w^2 - 4w = 70
2w^2 - 4w - 70 = 0
Factor
(2w + 10)(w-7) = 0
w = 7
70 = L x 7
L = 10
Hence the dimensions of the rectangle are Length = 10 inches, Width = 7 inches
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