Respuesta :
If the width = x m then the length = 2x - 4 m
Area = x(2x - 4) = 70
2x^2 - 4x - 70 = 0
2x^2 - 14x + 10x - 70 = 0
2x(x - 7) + 10(x - 7) = 0
(2x + 10)(x - 7) = 0
x = 7 or -5 ( ignore negative)
width = 7 m and length = 10 m answer
Area = x(2x - 4) = 70
2x^2 - 4x - 70 = 0
2x^2 - 14x + 10x - 70 = 0
2x(x - 7) + 10(x - 7) = 0
(2x + 10)(x - 7) = 0
x = 7 or -5 ( ignore negative)
width = 7 m and length = 10 m answer
The dimensions of the rectangle are 10 meters and 7 meters.
A rectangle is a figure that has four sides.
The area of a rectangle = length x width
Let width be represented w
Length = 2w - 4
Area = 70
w x (2w - 4) = 70
2w² - 4w = 70
Divide the equation by 2
w² - 2w = 35
w² - 2w - 35 = 0
The factorisation method would be used to determine the factors of -35w² that add up to -2w. The factors are -7w and 5w
(w² + 5w) (-7w - 35) = 0
w(w + 5) -7(w + 5) = 0
w - 7 = 0
w = 7
w + 5 = 0
w = - 5
The dimensions of a rectangle cannot be negative. So, the width of the rectangle is 7 meters.
The length
2(7) - 4
14 - 4 = 10 meters
Find attached an image of a rectangle. A similar question was answered here: https://brainly.com/question/23848042?referrer=searchResults
