Area of Half a Rectangle by Dividing into Two Equal Parts

Q.

Question 1 (a)

Find the area of each of the following parallelograms:

Q. Find the area of the following parallelogram:

1. $1c{m}^2$
2. $5c{m}^2$
3. $15c{m}^2$
4. $20c{m}^2$

Q.

Find the area of the given quadrilateral by using area of triangles

1. $\frac{1}{2}Ar\left[ABD\right]+\frac{1}{2}Ar\left[BCD\right]=12c{m}^2$

2. $Ar\left[ABD\right]=6c{m}^2$

3. $Ar\left[ABD\right]=12c{m}^2$

4. $Noneoftheabove$

Q. Find the area of the following parallelogram.

1. $14c{m}^2$
2. $42c{m}^2$
3. $28c{m}^2$
4. $56c{m}^2$

Q. The area of the following parallelogram is $8.75c{m}^2$.

1. False
2. True

Q.

The area of a rectangle can be expressed as the sum of area of two triangles.

1. True

2. False

Q. The area of the following parallelogram is ______.

1. $10c{m}^2$
2. $15c{m}^2$
3. $11c{m}^2$
4. $18c{m}^2$

Q.

Given: Area of parallelogram = Base $\times$ Height

Statement 1: A diagonal of a parallelogram divides it into two congruent triangles.

Statement 2: Areas of two congruent triangles are exactly equal

1. Both the statements are true and enough to determine area of a triangle

2. Statement 1 is true and Statement 1 is false

3. Statement 1 is false and Statement 2 is true

4. Both the statements are true but not enough to determine area of a triangle

Q.

A car's rectangular number plate was to be painted equally in blue and red as shown in the figure. What will be the total cost of painting the car's number plate if red paint costs ₹2 per$c{m}^2$ and blue paint costs ₹1 per $c{m}^2$?

1. ₹300
2. ₹360
3. ₹350
4. ₹420

Q. The shape of the tile used on the wall is in shape of a paralleogram as shown below.
The area of the paralleogram ABCD is sq. in

1. 1248
2. 1120
3. 1365
4. 1050

Q. Find the area of Fig. 34 in the following ways:
(i) Sum of the areas of three triangles
(ii) Area of a rectangle − sum of the areas of five triangles

Q. The shape of the tile used on the wall is in shape of a paralleogram as shown below.
The area of the paralleogram ABCD is sq. in

1. 1050
2. 1365
3. 1120
4. 1248

Q.

In the figure if DE = BF = 7 cm and AC = 9 cm. Find the area of the parallelogram.

1. $63c{m}^2$

2. $31.5c{m}^2$

3. $126c{m}^2$

4. $70c{m}^2$