Question:
Two sides of a plot measure 32 m and 24 m and the angle between them is a right angle. The other two sides measure 25 m each and the other three angles are not right angles. What is the area of the plot?
Two sides of a plot measure 32 m and 24 m and the angle between them is a right angle. The other two sides measure 25 m each and the other three angles are not right angles. What is the area of the plot?
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Break irregular polygons into simpler shapes and sum or subtract their areas.
Updated On: Aug 4, 2025
- 768 m$^2$
- 534 m$^2$
- 696.5 m$^2$
- 684 m$^2$
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The Correct Option is C
Solution and Explanation
Shape can be split into rectangle (32 × 24) and isosceles triangle with sides 25, 25, base 32. Rectangle area = $768$ m$^2$. Triangle height = $\sqrt{25^2 - 16^2} = \sqrt{625 - 256} = \sqrt{369} \approx 19.235$. Triangle area = $\frac12 \times 32 \times 19.235 \approx 307.76$ m$^2$. Total = $768 - 307.76 \approx 696.24$ m$^2$.
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