Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

a rectangle has sides 8 and 10 units long. what is the perimeter of the…

Question

a rectangle has sides 8 and 10 units long. what is the perimeter of the rectangle? the perimeter of the rectangle is □ units. (type an integer or a decimal.)

Explanation:

Step1: Recall the perimeter formula for a rectangle

The formula for the perimeter \( P \) of a rectangle with length \( l \) and width \( w \) is \( P = 2(l + w) \).

Step2: Identify the length and width

Here, the length \( l = 10 \) units and the width \( w = 8 \) units.

Step3: Substitute the values into the formula

Substitute \( l = 10 \) and \( w = 8 \) into the formula: \( P = 2(10 + 8) \).

Step4: Calculate the sum inside the parentheses

First, calculate \( 10 + 8 = 18 \).

Step5: Multiply by 2

Then, multiply by 2: \( P = 2\times18 = 36 \).

Answer:

36