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The length of a rectangle is 3 inches more than the width. The area is 40 square inches. Find the length of the rectangle

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stranclan72

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

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