Question

a rectangle is shown
7 centimeters
4 centimeters
key
= 1 square centimeter
which equation shows the area, in square centimeters, of the rectangle?
a. 4 + 4 + 7 + 7 = 22
b. 4 + 7 = 11
c. 4 × 7 = 28
d. 4 + 4 + 4 + 4 = 16

Explanation:

Step1: Recall area formula for rectangle

The formula for the area of a rectangle is \( \text{Area} = \text{length} \times \text{width} \).

Step2: Identify length and width

From the diagram, the length of the rectangle is 7 centimeters and the width is 4 centimeters.

Step3: Apply the formula

Substitute the length and width into the formula: \( \text{Area} = 4 \times 7 \). Calculating this gives \( 4 \times 7 = 28 \) square centimeters.

Step4: Analyze other options

• Option A: \( 4 + 4 + 7 + 7 \) calculates the perimeter (sum of all sides), not the area.
• Option B: \( 4 + 7 \) is just adding length and width, which is not related to area calculation.
• Option D: \( 4 + 4 + 4 + 4 \) is adding the width four times, which is not the area formula for a rectangle with length 7.

Answer:

C. \( 4 \times 7 = 28 \)