What is the expression that represents the area of the rectangular garden? Explain your reasoning.

Question

The length of a rectangular garden is represented by (x - 5) meter and the width is represented by (x + 2) meter , Jim decided to cover all the area with grass.

Answer 1

hi,

area is length times width. or l * w = area.

so in this case length is represented by x- 5

and width is represented by x + 2

so multiplying the two dimesnions

we get

( x - 5) ( x + 2 ) = x^2 + 2 x - 5 x - 10 = area.

combining like terms

x ^2 - 3 x -10= area.

I hope this helps