Question

the lengths of two adjacent sides of a rectangle are 2x + 3 and x - 7, and its perimeter is 40. which answer choice shows an equation that can be used to find x?

Explanation:

Step1: Recall perimeter formula

The perimeter $P$ of a rectangle is given by $P = 2(l + w)$, where $l$ and $w$ are the lengths of adjacent sides. Here, $l=2x + 3$ and $w=x - 7$, and $P = 40$.

Step2: Substitute values into formula

Substitute the values into the perimeter formula: $40=2((2x + 3)+(x - 7))$.

Answer:

$40=2((2x + 3)+(x - 7))$