Math, asked by akashparida12, 1 year ago

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​

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Answers

Answered by arshikhan8123
1

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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Answered by pinkypearl301
0

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.

https://brainly.in/question/33949959

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