Weaver Mcguire
01/16/2024 · Primary School
A rectangular garden measures 16 m by 6 m . There is a square flower bed in the garden. The length of the square flower bed is 3 m . What is the area of the garden that is not covered by the flower bed?
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Step-by-step Solution
To find the area of the garden that is not covered by the square flower bed, we first need to calculate the area of both the garden and the flower bed.
1. **Area of the garden**:
\[
\text{Area of the garden} = \text{length} \times \text{width} = 16 \, \text{m} \times 6 \, \text{m} = 96 \, \text{m}^2
\]
2. **Area of the square flower bed**:
\[
\text{Area of the flower bed} = \text{side} \times \text{side} = 3 \, \text{m} \times 3 \, \text{m} = 9 \, \text{m}^2
\]
3. **Area of the garden not covered by the flower bed**:
\[
\text{Area not covered} = \text{Area of the garden} - \text{Area of the flower bed} = 96 \, \text{m}^2 - 9 \, \text{m}^2 = 87 \, \text{m}^2
\]
Thus, the area of the garden that is not covered by the flower bed is \( \boxed{87} \, \text{m}^2 \).
Quick Answer
The area of the garden not covered by the flower bed is 87 m².
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