Answer:
Length is 8 inches
Step-by-step explanation:
Start with area of rectangle
Area = L * W
Also it was stated that L = W+3 (3 inches more than the width)
Substitute W+3 in place of L
Area = (W+3)*W
40 = W^2+ 3W
Move everything to one side of the equation yields
W^2 + 3W -40 = 0
By factoring
(W+8)*(W-5) which would yield results of W = -8 or 5. Since we are looking for positive values (width of a rectangle) we would get W = 5 inches.
Using the information from above L = W + 3 = 5 + 3 = 8 inches.
Checking
L*W is area of rectangle. 8 * 5 = 40 which was the stated area (in^2) in the given information.
The length of the rectangle is 8cm
A rectangle is a two-dimensional quadrilateral shape with four sides and four right angles.
Area of a rectangle = length x width
l = 3 + w
where:
l = length
w= width
(3 + w) x w = 40
3w + w² = 40
Quadratic equation would be used to determine the value of w
w² + 3w - 40 = 0
Determine factors of -40 w² that add to 3w
They are 8w and -5w
w² - 5w +8w - 40 = 0
w(w - 5) +8(w + 5) = 0
(w + 8) = 0
w = -8
(w - 5) = 0
w = 5
Width is 5 cm. This is because the width cannot be a negative number
Length = 5cm + 3cm = 8cm
Please find attached an image of a rectangle
To learn more about the area of a rectangle, please check: https://brainly.com/question/12019874?referrer=searchResults
