A composite shape is formed by two rectangles. The first rectangle has dimensions 5 units by 2 units. The…

Question

A composite shape is formed by two rectangles. The first rectangle has dimensions 5 units by 2 units. The second rectangle has dimensions 6 units by 3 units. What is the total area of the shape?

ScanSolve AI Tutor · Accepted Answer

To find the area of the figure, we can divide it into two rectangles.

Identify the dimensions of the first rectangle (the vertical part on the left).
The height is 5 units and the width is 2 units.
Calculate the area of the first rectangle.
$\text{Area}_1 = \text{length} \times \text{width} = 5 \times 2 = 10 \text{ square units}$
Identify the dimensions of the second rectangle (the horizontal part on the right).
The length is 6 units and the height is 3 units.
Calculate the area of the second rectangle.
$\text{Area}_2 = \text{length} \times \text{width} = 6 \times 3 = 18 \text{ square units}$
Add the areas of the two rectangles to find the total area of the figure.
$\text{Total Area} = \text{Area}_1 + \text{Area}_2 = 10 + 18 = 28 \text{ square units}$
The area of the figure is $\text{28 square units}$ .

A composite shape is formed by two rectangles. The first rectangle has dimensions 5 units by 2 units. The second rectangle has dimensions 6 units by 3 units. What is the total area of the shape?

Answer

Step-by-step solution

Identify the dimensions of the first rectangle (the vertical part on the left).

Calculate the area of the first rectangle.

Identify the dimensions of the second rectangle (the horizontal part on the right).

Calculate the area of the second rectangle.

Add the areas of the two rectangles to find the total area of the figure.

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