Area of Triangle

Q.

The area of the equilateral triangle is $20\sqrt{3}c{m}^2$ whose each side is$8cm$. Write True or False and justify your answer.

1. True
2. False

Q. A man went for a walk in a park along its perimeter. What distance did he cover in total?

1. 550 m
2. 600 m
3. 700 m
4. 1, 000 m

Q. Which of the following figures have the same area?

1. A rectangle of length 4 cm and breadth 3cm.
2. Triangle with base 3 cm and height 8cm
3. A rectangle of length 6 cm and breadth 2cm.
4. Square of 3 cm side.

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. 30

2. 20

3. 48

4. 50

Q. What is the area of the triangle shown below?

1. 12 ${cm}^2$
2. 20 $c{m}^2$
3. 28 ${cm}^2$
4. 32 ${cm}^2$

Q.

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

1. 48

2. 38

3. 44

4. 45

Q. In a triangle $ABC,$ if the radii of ex-circles $r_1,r_2$ and $r_3$ are given by $r_1=8,r_2=12$ and $r_3=24,$ then:

1. in radius $r=8$
2. side $a=12$
3. side $b=16$
4. side $c=20$

Q. Two figures having the same area must have the same perimeter.

1. False
2. True

Q.

If the cost of levelling a triangular field at the rate of ₹20 per square meter is ₹9600, then the area of the field is ___ sq m.

1. 480
2. 450
3. 430
4. 400

Q. Two figures having the same area must have the same perimeter.

1. False
2. True

Q.

Find the area of the following shape (in sq. cm)

1. 12
2. 24
3. 36
4. 48

Q.

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

1. = 40 cm${}^2$

2. = 36 cm${}^2$

3. = 24 cm${}^2$

4. = 48 cm${}^2$

Q.

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

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

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. ₹​ 512

4. ₹​ 421.8

Q.

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

1. 48

2. 64

3. 84

4. 96

Q.

Find the area of the following shape (in sq. cm)

1. 24

2. 12

3. 48

4. 36

Q.

What is the area of a right triangle whose height is 6 inches and base is 8 inches?

1. 24 Square Inches

2. 48 Square Inches

3. 30 Square Inches

4. 60 Square Inches

Q.

In the given shelf which is right angled at A, AB = AC = 48 inches. Find the area of the shelf.

​

1. 1155 sq. inches

2. 1142 sq. inches

3. 1152 sq. inches

4. 1158 sq. inches

Q. Calculate the perimeter of the triangle whose sides are $6$ cm, $8$ cm and $6$ cm.

Q.

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

1. 6 cm

2. 9 cm

3. 24 cm

4. 7 cm

Q. A man went for a walk in a park along its perimeter. What distance did he cover in total?

1. 550 m
2. 600 m
3. 700 m
4. 1, 000 m

Q. The perimeter of an equilateral triangle is $45$ cm. Find the length of each side of the equilateral triangle.

Q. In a triangle the height is double the base and the area is 400 $c{m}^2$. Find the length of the base and height.

Q. Find the perimeter of the following shapes:
A triangle of sides $7cm,5.4cm$ and $10.2cm$

Q. Jake is solving the following question:
In the given figure, the triangle represents females, the square represents dancers, and the circle represents singers.
Help Jake find the area of the figure that represents females who are dancers as well as singers.

1. 5
2. 3
3. 2
4. 4

Q. The square above has an area of 100. If Q is the midpoint of AC and I? is the midpoint of BD, what is the area of the shaded area?

1. 40
2. 50
3. 60
4. 75

Q.

Find the area of the following shape (in sq. cm)

1. 12

2. 24

3. 36

4. 48

Q. The length of $LM,$ if $L^{\prime }{M}^{\prime }=5.4cm$.