The length of the rectangle is 9 feet
Step-by-step explanation:
A rectangle is drawn so that:
- The width is 4 feet shorter than the length
- The area of the rectangle is 45 square feet
Assume that the length of the rectangle is x feet
∵ The length of the rectangle = x feet
∵ The width of the rectangle is 4 feet shorter than the length
∴ The width of the rectangle = (x - 4) feet
∵ The area of the rectangle = length × width
∴ The area of the rectangle = x(x - 4)
- Simplify it
∴ The area of the rectangle = x² - 4x
∵ The area of the square = 45 feet²
- Equate the two expressions of the area
∴ x² - 4x = 45
- Subtract 45 from both sides
∴ x² - 4x - 45 = 0
Use your calculator to find the value of x
∴ x = 9 and x = -5
- We will reject the value of x = -5 because there is no negative
dimensions
∴ x = 9
∵ The length of the rectangle = x
∴ The length of the rectangle = 9 feet
The length of the rectangle is 9 feet
Learn more:
You can learn more about area of figures in brainly.com/question/4713715
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