find the area of the shaded portion of the given rectangle
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20
Area = 79
in five steps
in five steps
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lokesh1222:
then find area of all the triangles and add it
ok and next
subrate it from the area of rectangle
the area of shaded part is the answer
ok thanks
the answer is 82 cm square
but in my book the answer is 79 cm sq
I checked it now
ok
bye
Answered by
17
The area of the shaded portion is 79 sq. cm.
Step-by-step explanation:
There are three non-shaded triangles in the given large rectangle with dimensions 14 cm by 10 cm.
The smallest triangle is a right triangle with base 5 cm and height (10 - 6) = 4 cm.
So, its area is (0.5 × 4 × 5) = 10 square cm.
The medium triangle is a right triangle and it has base length 8 cm and height 6 cm.
So, its area is (0.5 × 8 × 6) = 24 square cm.
The large triangle is a right triangle and it has base length 9 cm and height 6 cm.
So, its area is (0.5 × 9 × 6) = 27 square cm.
Therefore, the area of the shaded portion on the rectangle = Total area of the rectangle - (Sum of the area of non-shaded three triangles)
= [(14 × 10) - (10 + 24 + 27)]
= 79 square cm. (Answer)
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