in the given figure ABCD is a rectangle of dimensions and 4cm and 6 cm E and F are the midpoints of Ab and BC respectively .find the area of shaded portion
Answers
Concept:
Area is the region occupied by a figure or an object.
Given:
A rectangle of dimensions and 4 cm and 6 cm E and F are the midpoints of AB and BC respectively .
Find:
We need to find the area of shaded region.
Step-by-step explanation:
Area of rectangle = A = l × b = 4 × 6 = 24 cm²
As, E and F mid point of AB and AC, we get that:
BE = CB / 2 = 4 / 2 = 2 cm
BF = AB / 2 = 6 / 2 = 3 cm
Area Δ EBF = 1 / 2 × BE × BF = 1 / 2 × 2 × 3 = 3 cm
Area of the shaded region:
= A (rectangle) - A(Δ EBF) = 24 - 3 = 21 cm²
Therefore, the area of shaded region is 21 cm².
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Answer:
21 sq. cm.
Step-by-step explanation:
Area of the shaded area is the sum of the triangle's and the rectangle's areas.
The rectangle's area is equal to its length times its breadth, which is 4 by 6 centimetres.
Given that E and F are the respective midpoints of AB and CB
As a result, AE = EB = 3 cm and BF = FC = 2 cm.
It is a triangle with a right angle. Consequently, the triangle's base and height are equal to each other.
We are aware that the area of a triangle is equal to = 1/2 x base x height = 1/2 x 2 x 3 = 3 sq. cm
Area of the shaded area is now equal to 24 – 3 = 21 sq. cm.
In the given figure ABCD is a square of side 4cm E and F are midpoint of AB and AD respectively. find the area of shaded region.
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