In the figure AB=20m,BC=21m,AD=10m and DE=10.5m. Find the area of the shaded region
Answers
Step-by-step explanation:
in figure where is shaded region
Answer:
157.5m²
Step-by-step explanation:
given,
two right-angled triangles ∆ABC&∆ADE
Triangle ∆ABC:
Base of the right-angled triangle∆ABC=20m.
Height of the right-angled triangle∆ABC=21m.
Area of the right-angled triangle∆ABC=1/2×b×h
=1/2×20×21
=10×21
=210m².
Triangle ∆ADE:
The base of the right-angled triangle∆ADE=10m.
Height of the right-angled triangle∆ADE=10.5m.
Area of the right-angled triangle∆ADE=1/2×b×h
=1/2×10×10.5
=5×10.5
=52.5m²
since, asked us to find out the shaded region
therefore,
Area of shaded region=
Area of Triangle ∆ABC-Area of Triangle ∆ADE
=210-52.5
=157.5m².
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