Question

find the area of rectangle mnop. round your answer to the nearest tenth if necessary.
image of rectangle mnop with n to m: 6.6 in, n to o: 19.8 in, m to p: 19.8 in, o to p: 6.6 in, right angles at each corner

Explanation:

Step1: Recall the formula for the area of a rectangle

The area \( A \) of a rectangle is given by the formula \( A = \text{length} \times \text{width} \).

Step2: Identify the length and width from the diagram

From the diagram, the length of the rectangle (let's say \( l \)) is \( 19.8 \) inches and the width (let's say \( w \)) is \( 6.6 \) inches.

Step3: Calculate the area

Substitute the values of length and width into the formula:
\[
A = 19.8 \times 6.6
\]
First, multiply \( 198 \times 66 = 13068 \). Since there are two decimal places (one in \( 19.8 \) and one in \( 6.6 \)), the product will have two decimal places. So, \( 19.8 \times 6.6 = 130.68 \).

Answer:

The area of rectangle MNOP is \( 130.7 \) square inches (rounded to the nearest tenth) or exactly \( 130.68 \) square inches. If we round to the nearest tenth, we look at the hundredth place, which is \( 8 \), so we round up the tenth place: \( 130.68 \approx 130.7 \). So the area is \( 130.7 \) square inches (or \( 130.68 \) square inches if not rounded).