Question

nikkis backyard is in the shape of a rectangle. the length is 27 feet. the width is one - third the length plus 4 feet. write and evaluate an expression to find the area of nikkis backyard. choose the expression to find the area of nikkis backyard. a. 27×2 + 2×(\frac{1}{3}×27 + 4) b. 27×(\frac{1}{3}×27 + 4) c. (27×\frac{1}{3})×27 + 4 d. (2×27)+(2×\frac{1}{3}×27 + 4)

Explanation:

Step1: Find the width formula

The length $l = 27$ feet. The width $w$ is one - third the length plus 4 feet, so $w=\frac{1}{3}\times27 + 4$.

Step2: Recall the area formula for rectangle

The area formula of a rectangle is $A=l\times w$. Substituting $l = 27$ and $w=\frac{1}{3}\times27 + 4$ into the formula, we get $A = 27\times(\frac{1}{3}\times27+4)$.

Answer:

B. $27\times(\frac{1}{3}\times27 + 4)$