Question

A rectangle has a perimeter of 42 feet and a height of 14 feet. What is the length of the base?

Answer 1

Answer:

7 feet

Step-by-step explanation:

The perimeter (P) of a rectangle is given by the formula:

$\[ P = 2 \times (\text{Length} + \text{Width}) \]$

In this case, the height is equivalent to the width of the rectangle$(\(\text{Width} = 14\) feet)$. You are given that the perimeter is 42 feet.

$\[ 42 = 2 \times (\text{Length} + 14) \]$

Now, solve for the length $(\(\text{Length}\))$:

$\[ \text{Length} + 14 = \frac{42}{2} \]$

$\[ \text{Length} + 14 = 21 \]$

$\[ \text{Length} = 21 - 14 \]$

$\[ \text{Length} = 7 \]$

So, the length of the base of the rectangle is 7 feet.