Arectangle has an area (x2-17x+72) square units. since the area of a rectangle is determined using the formula, a= lw, what could be the length and width of the rectangle

length: 9

width: 8

Step-by-step explanation:

you would need to factorise the equation in order to work out the length and width of the rectangle

so to factorise x^2 -17x +72, you will need to numbers that multiply to make 72 and add to make -17

the numbers are -9 and -8

so the factorised equation is (x-9)(x-8)

if you equate it to 0 you get 9 and 8 as values for x

since the length is longer than the width

the length is 9 and the width is 8

option: d is correct

step-by-step explanation: