WORKSHEET ON AREA OF TRIANGLE

Find the area of the following triangles

Problem 1 :

Solution

Problem 2 :

Solution

Problem 3 :

Solution

Problem 4 :

Solution

Problem 5 :

Solution

Problem 6 :

Solution

Find the missing dimension of triangle

Problem 7 :

Base : 4 in

Area : 22 in²

Solution

Problem 8 :

Height : 1 yd

Area : 2.5 yd²

Solution

Problem 9 :

Base : 5 ft

Area: 5 5/6 ft² : 35/6 ft²

Solution

Problem 10 :

A shelf has the shape of a triangle. The base of the shelf is 36 centimeters, and the height is 18 centimeters. Find the area of the shelf.

Solution

Problem 11 :

The wingspan of the triangular hang glider is 30 feet.

How much fabric is needed to make the sail?

Solution

Problem 12 :

The base and the height of Sail B are x times greater than the base and the height of Sail A. How many times greater is the area of Sail B? Write your answer as a power.

Solution

Problem 13 :

The total area of the polygon is 176 square feet. Find the value of x.

Solution

Problem 14 :

A wildlife conservation group buys a plot of land. How much land does it buy?

Solution

Problem 15 :

A sheet of plywood is 4 feet wide by 8 feet long. What is the minimum number of sheets of plywood needed to cover the frame? Justify your answer.

Solution

Problem 1 :

The semi perimeter of a triangle having the length of its sides as 20 cm, 15 cm and 9 cm is

(a) 44 cm     (b) 21 cm     (c) 22 cm     (d) None

Solution

Problem 2 :

The angles of a triangle are in the ratio 5:3:7, then the triangle is

(a) Acute angled     (b) Obtuse angled

(c) Right triangle     (d) Isosceles triangle

Solution

Problem 3 :

The base of an isosceles triangle whose area is 12 cm² and one of the equal sides is 5 cm is

(a) 6 cm     (b) 8 cm     (c) Both a and b     (d) None of these

Solution

Problem 4 :

The length of each side of an equilateral triangle having an area of 9√3 cm² is

(a) 8 cm     (b) 36 cm     (c) 4 cm     (d) 6 cm

Solution

Problem 5 :

The length of the perpendicular drawn on the longest side of a scalene triangle is

(a) Largest     (b) Smallest     (c) No relation     (d) None

Solution

Problem 6 :

Semi perimeter of scalene triangle of side k, 2k and 3k is

(a) k     (b) 2k     (c) 3k     (d) None

Solution

Problem 7 :

If the area of an equilateral triangle is 16√3 cm², then the perimeter of the triangle is

(a) 48 cm     (b) 24 cm     (c) 12 cm     (d) 36 cm

Solution

Problem 8:

An isosceles right triangle has an area 8 cm². The length of its hypotenuse is 

(a) √32 cm     (b) √16 cm     (c) √48 cm     (d) √24 cm

Solution

Problem 9 :

The edges of a triangular board are 6 cm, 8 cm and 10 cm. The cost of painting it at 0.09 per cm² is 

(a) 2.00     (b) 2.16     (c) 2.48     (d) 3.00

Solution

Find the area of each triangle :

Problem 1 :

Solution

Problem 2 :

Solution

Problem 3 :

Solution

Problem 4 :

Solution

Problem 5 :

The front part of a tent is 8 feet long and 5 feet tall. what is the area of the front part of the tent ?

Solution

Problem 6 :

Kathy is playing a board game. The game pieces are each in the shape of a triangle. Each triangle has a base of 1.5 inches and a height of 2 inches. What is the area of a game piece? 

Solution

Problem 7 :

A triangular – shaped window has a base of 3 feet and a height of 4 feet. What is the area of the window ?

Solution

Problem 8 :

Landon has a triangular piece of paper. The base of the paper is 6  1/2 inches. The height of the paper is 8 inches. What is the area of the piece of paper ?

Solution

Problem 9 :

A shelf has the shape of a triangle. The base of the shelf is 36 centimeters, and the height is 18 centimeters. Find the area of the shelf.

Solution

Problem 10 :

Estimate the area of the cottonwood leaf.

Solution