AREA AND PERIMETER OF TRIANGLES WORKSHEET

Find the Area of Each Triangle

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

Problem 11 :

The wingspan of the triangular hang glider is 30 feet.

a. 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 :

If the area of a square with side a is equal to the area of a triangle with base a then the altitude of the triangle is :

a)  a/2      b)  a      c)  2a     d)  4a

Solution

Problem 14 :

If the area of triangle is 1176 cm² and base corresponding altitude is 3 : 4, then the altitude of the triangle is :

a)  42 cm      b)  52 cm      c)  54 cm    d)  56 cm

Solution

Find the Perimeter of Each Triangle

Problem 1 :

Solution

Problem 2 :

Solution

Problem 3 :

Solution

Problem 4 :

Solution

Problem 5 :

Solution

Problem 6 :

Solution

Problem 7 :

Solution

Problem 8 :

Solution

Problem 9 :

The perimeter of a right angled triangle is 60 cm. Its hypotenuse is 26 cm. The area of the triangle is :

a)  120 cm²    b) 240 cm²       c)  390 cm²      d)  780 cm²

Solution

Problem 10 :

The sides of a triangle are in the ratio of 1/2 : 1/3 : 1/4. If the perimeter is 52 cm, then the length of the smallest sides is 

a)  9 cm    b)  10 cm     d)  11 cm    d)  12 cm

Solution

Problem 11 :

The perimeter of a triangle is 30 cm and its area is 30 cm². If the largest side measures 13 cm, then what is the length of the smallest side of the triangle ?

a)  3 cm     b)  4 cm     c)   5 cm     d)  6 cm

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