Question

1. the length of marshalls rectangular poster is 2 times its width. if the perimeter is 24 inches, what is the area of the poster? lesson 3: demonstrate understanding of area and perimeter formulas by solving multi - step real - world problems.

Explanation:

Step1: Let width be $w$.

Length $l = 2w$. Perimeter formula for rectangle is $P=2(l + w)$. Given $P = 24$, so $2(2w+w)=24$.

Step2: Simplify the equation.

$2(3w)=24$, which is $6w = 24$. Then $w=\frac{24}{6}=4$ inches.

Step3: Find the length.

Since $l = 2w$, then $l=2\times4 = 8$ inches.

Step4: Calculate the area.

Area formula for rectangle is $A=l\times w$. So $A = 8\times4=32$ square - inches.

Answer:

32 square inches