Respuesta :
The dimensions of the rectangle are:
- Length = 7/2 yd
- Width = 4 yd
- Total area = 14 yd²
What is the area?
- The quantity area expresses the extent of a region on a plane or curved surface.
- Surface area refers to the area of an open surface or the boundary of a three-dimensional object, whereas the area of a plane region or plane area refers to the area of a shape or planar lamina.
To find the dimensions of the rectangle:
Let,
- Area = A = 14
- Width = w
- Length = 2w-3
- A = lw
- A = (2w-3)w
Extend the area equation as follows:
- A = 2w2-3w
Rearrange:
- 2w2 - 3w - A = 0
Substitute known information for A:
- 2w2 - 3w - 14 = 0
To solve quickly, factor the left side (or use the quadratic formula):
- (w+2)(w - 7/2) = 0
The factorial solutions for w are -2 and 7/2.
Assuming this is a genuine rectangle, the width must be positive.
As a result, the length is:
- 2(7/2) - 3
That is,
- 7 - 3 = 4
Therefore, the dimensions of the rectangle are:
- Length = 7/2 yd
- Width = 4 yd
- Total area = 14 yd²
Know more about the area here:
https://brainly.com/question/25292087
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The complete question is given below:
The area of a rectangle is 14 yd², and the length of the rectangle is 3 yd less than double the width. find the dimensions of the rectangle.
