Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

find the area of rectangle bcde. round your answer to the nearest tenth…

Question

find the area of rectangle bcde. round your answer to the nearest tenth if necessary. image of rectangle bcde with side lengths 13.3 in and 7.6 in

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 \( BCDE \) is \( 13.3 \) inches and the width is \( 7.6 \) inches.

Step3: Calculate the area

Substitute the values of length and width into the formula:
\[
A = 13.3 \times 7.6
\]
First, multiply \( 13.3 \) and \( 7.6 \):
\[
13.3 \times 7.6 = 101.08
\]

Answer:

The area of rectangle \( BCDE \) is \( 101.1 \) square inches (rounded to the nearest tenth) or \( 101.08 \) square inches (exact value). If we round to the nearest tenth, we look at the hundredth place, which is \( 8 \), so we round up the tenths place: \( 101.08 \approx 101.1 \). However, if we consider the exact product, it is \( 101.08 \). Depending on the requirement, the answer can be \( 101.1 \) (rounded to the nearest tenth) or \( 101.08 \). If we follow the instruction to round to the nearest tenth, the answer is \( 101.1 \) square inches.