Question

1. the rectangle has a perimeter of 86 yards. which is its area? a 210 sq yd b 420 sq yd c 560 sq yd d 840 sq yd

Explanation:

Step1: Recall perimeter formula for rectangle

The perimeter of a rectangle is given by $P = 2(l + w)$, where $P$ is perimeter, $l$ is length, and $w$ is width. We know $P=86$ yd, $w=15$ yd.

Step2: Solve for the unknown length

Substitute known values into the formula:
$86 = 2(l + 15)$
First divide both sides by 2: $\frac{86}{2} = l + 15$
$43 = l + 15$
Then subtract 15 from both sides: $l = 43 - 15 = 28$ yd

Step3: Calculate area of the rectangle

The area of a rectangle is $A = l \times w$. Substitute $l=28$ yd and $w=15$ yd:
$A = 28 \times 15$

Answer:

C. 420 sq yd