Jackson is building a small rectangular basketball section in his backyard. The length of the section will be 1.25 times the width of the section. Part A (2 POINTS) Create an equation to represent the area of the basketball section, A, in terms of the width, w. Part B (5 POINTS) Jackson decides to make the area of the basketball section 245 square feet. What are the dimensions, in feet, of the basketball section?

Part A)

Part B) Length: 17.5 feet and Width: 14 feet

Step-by-step explanation:

Part A) Create an equation to represent the area of the basketball section A, in terms of the width W.

Let

L ----> the length of the  rectangular basketball section

W ---> the width of the  rectangular basketball section

we know that

The area of the rectangular basketball section is equal to

----> equation A

The length of the section will be 1.25 times the width of the section

so

----> equation B

substitute equation B in equation A

Part B) Jackson decides to make the area of the basketball section 245 square feet. What are the dimensions, in feet, of the basketball section?

we have

so

solve for W

Find the value of L

substitute the value of W in the equation B

therefore

The dimensions are :

Length: 17.5 feet

Width: 14 feet

a

step-by-step explanation: