Question

1. 15 ft x 10 ft p = 47 ft

Explanation:

Step1: Recall perimeter formula

The perimeter $P$ of a polygon is the sum of the lengths of its sides. For this pentagon, $P = 15 + x+x + 10+10$.

Step2: Set up the equation

We know that $P = 47$ ft. So, $15 + 2x+20=47$.

Step3: Simplify the left - hand side

Combine like terms: $35 + 2x=47$.

Step4: Isolate the variable term

Subtract 35 from both sides: $2x=47 - 35$, so $2x = 12$.

Step5: Solve for $x$

Divide both sides by 2: $x=\frac{12}{2}=6$.

Answer:

$x = 6$ ft