AREA AND PERIMETER OF TRIANGLES WORD PROBLEMS WORKSHEET

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

Answer Key

1) Semi perimeter of triangle is 22 cm.

2) The triangle is an acute angled triangle.

3)  Hence, base = 8 cm or 6 cm.

4)  Hence, the side of the triangle is 6 cm.

5)  (b) is correct.

6)  The semi perimeter of given triangle is 3k.

7)  The perimeter of an equilateral triangle is 24 cm.

8)  Hypotenuse = √32 cm

9)  2.16

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