Question

find the area of the shape. first, draw a line to cut the shape into two rectangles. what are the areas of the two rectangles you made? square units and square units what is the area of the whole shape? square units

Explanation:

Part 1: Areas of the two rectangles

Step 1: Analyze the first rectangle (left)

The left rectangle has a length of 5 units (along the horizontal) and a height of 3 units (along the vertical). The area of a rectangle is given by \( \text{Area} = \text{length} \times \text{height} \). So, for the left rectangle:
\( \text{Area}_1 = 5 \times 3 = 15 \) square units.

Step 2: Analyze the second rectangle (right)

The right rectangle has a length of 5 units (along the vertical, since we cut vertically) and a height of 4 units (along the horizontal). Using the area formula:
\( \text{Area}_2 = 5 \times 4 = 20 \) square units.

Part 2: Area of the whole shape

Step 1: Sum the areas of the two rectangles

To find the total area, add the areas of the two rectangles:
\( \text{Total Area} = 15 + 20 = 35 \) square units.

Answer:

s:

• Areas of the two rectangles: \( \boldsymbol{15} \) square units and \( \boldsymbol{20} \) square units.
• Area of the whole shape: \( \boldsymbol{35} \) square units.