Question

3) Here is a rectangle of area 20 square cm.
a) Draw one straight line in this rectangle to divide it into two
equal triangles. What is the area of each of the triangles?
b) Draw one straight line in this rectangle to divide it into
two equal rectangles. What is the area of
each of the smaller rectangles?
c) Draw two straight lines in this rectangle to
divide it into one rectangle and two equal
triangles.​

Answer 1

Kindly refer to the following image for the answer

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Answer 2

Answer:

(a) The area of each triangle = 10 cm sq.

(b) The area of each rectangle = 10 cm sq.

(c) The area of each triangle = 5 cm sq. and the area of the small rectangle = 10 cm sq.

Step-by-step explanation:

Given: The area of a rectangle is 20 cm sq.

(a) In figure-1,

ABCD is a rectangle and the line BD divides the rectangle into two equal triangles, i.e., ΔABD and ΔBCD.

Then,

The area of the each triangle = 20/2

                                                  = 10 cm sq.

(b) In figure-2,

ABCD is a rectangle and the line EF divides the rectangle ABCD into two equal small rectangles, i.e., rectangle ABFE and rectangle EFCD.

Then,

The area of each small rectangle = 20/2

                                                         = 10 cm sq.

(c) In figure-3,

ABCD is a rectangle and the lines EF and AE divides the rectangle ABCD into one small rectangle and two equal triangles, i.e., rectangle BCEF and ΔADE, ΔAFE.

Then,

The area of each triangle = 10/2

                                            = 5 cm sq.

And the area of the small rectangle = 10 cm sq.

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