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Question 25
Find the area and perimeter of the figure shown below. Note, all angles are right angles.
area square units
perimeter units
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Studdy Solution
STEP 1
1. The figure is L-shaped with all right angles.
2. The dimensions of the figure are given as follows:
- Left vertical side: 13 units
- Bottom horizontal side: 3 units
- Right vertical side: 6 units
- Top horizontal side: 9 units
STEP 2
1. Break down the L-shaped figure into two rectangles.
2. Calculate the area of each rectangle.
3. Sum the areas to find the total area.
4. Calculate the perimeter of the L-shaped figure.
STEP 3
Break down the L-shaped figure into two rectangles. Assume the L-shape can be divided into: - Rectangle 1: with dimensions 9 units (top horizontal) by 6 units (right vertical). - Rectangle 2: with dimensions 3 units (bottom horizontal) by 7 units (remaining vertical after subtracting 6 units from 13 units).
STEP 4
Calculate the area of each rectangle. - Area of Rectangle 1: - Area of Rectangle 2:
STEP 5
Sum the areas to find the total area of the L-shaped figure:
STEP 6
Calculate the perimeter of the L-shaped figure. The perimeter is the sum of all the outer sides:
- Perimeter:
The area of the figure is:
The perimeter of the figure is:
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