Area of a Triangle

Q.

Find the area of figure given below (in sq. inches).

1. 48
2. 64
3. 84
4. 96

Q. Find the area of a triangle whose base is 4 cm and corresponding height is 12 cm long.

1. $18c{m}^2$
2. $24c{m}^2$
3. $12c{m}^2$
4. $9c{m}^2$

Q. A local park is 32 m long and its width is half of the length. It has two right-triangular grass lawns with the following dimensions. The local gardener wanted to renovate the park so he hired some men. The men agreed to work on the grass lawn at ₹​ 1.2 per sq metre and put new footpath at ₹ 0.80 per sq metre. What is the total cost the gardener will have to pay after the work is done?

1. ₹​ 431.2
2. ₹​ 368.4
3. ₹​ 421.8
4. ₹​ 512

Q.

Find the area of the following shape (in sq. cm) [4 MARKS]

Q. Which of the following combination of base and height is not possible if the area of the triangle is given as $36c{m}^2$?

1. $12cm,6cm$
2. $9cm,8cm$
3. $24cm,3cm$
4. $9cm,4cm$

Q. The ratio of the base and height of a triangle is 4 : 5. If the area of the triangle is 1440 $m^2$, find the measurement of its base and height.

1. 42 m, 60 m
2. 48 m, 62 m
3. 48 m, 60 m
4. 46 m, 68 m

Q.

The base of a triangular field is 2.4 times its height. If the cost of levelling the field at the rate of ₹20 per square meter is ₹9600, then the height of the field is ___ m.

1. 20

2. 30

3. 48

4. 50

Q.

If the area of a triangle is $49c{m}^2$ and its base is double its height, then find the height.

1. 6 cm

2. 9 cm

3. 24 cm

4. 7 cm

Q.

An isosceles triangle has perimeter 36 cm. If each of the equal sides is 10 cm, then the area of the triangle is _____${\text{cm}}^2$

1. 48

2. 38

3. 44

4. 45

Q. Find the area of right angled triangle whose hypotenuse is 15 cm and one of the sides is 12 cm.

1. $45c{m}^2$
2. $54c{m}^2$
3. $35c{m}^2$
4. $27c{m}^2$