The diagram below represents the measurements of jennie’s yard. the yard’s width is x feet shorter than its length. if the area of the yard is 540 square feet, how many feet shorter than the length is the width?

The width is 12 feet shorter than the length.

Step-by-step explanation:

The area of a rectangle can be calculated with this formula:

Where "l" is the lenght and "w" is the width of the rectangle.

 We know that lenght of Jennie's yard is 30 feet, the width is and the area is 540 square feet. Then:

Substitute these values into the formula and then solve for "x":

Therefore, the width is 12 feet shorter than the length.

x = ±sqrt(10)

step-by-step explanation:

5 - 2x² = -15

subtract 5 from each side

5-5 - 2x² = -15-5

-2x^2   = -20

divide by -2 on each side

-2x^2   /-2= -20/-2

x^2 =10

take the square root on each side

sqrt(x^2 )=±sqrt(10)

x = ±sqrt(10)

check:

5 - 2x² = -15

+sqrt(10)

5 - 2(sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

-sqrt(10)

5 - 2(-sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

the area of the rectangle is 35units^2.

step-by-step explanation:

graph it and find the distance.

it is a 5*7 rectangle.

therefore the area is 35units^2.