An umbrella is made by stitching 10 triangular pieces of cloth of two different colours where each pieces measuring 48cm,48cm,and 30cm. find cost of required to make umbrella at…

Question

asked Jul 6, 2022 4.6k views

1 Answer

Viktorija · Answer 1 · 2022-07-12T12:21:45+0000

Given:

An umbrella is made by stitching 10 triangular pieces of cloth.

Each pieces measuring 48cm,48cm, and 30cm.

To find:

The cost of required to make umbrella at rate of 5 paisa per square cm.

Solution:

Area of a triangle is:

A=√(s(s-a)(s-b)(s-c))

Where,

s=(a+b+c)/(2)

Each pieces measuring 48cm,48cm, and 30cm. So,

s=(48+48+30)/(2)

s=(126)/(2)

s=63

Area of one triangular piece is:

A=√(63(63-48)(63-48)(63-30))

A=√(63(15)(15)(33))

$A=√(467775)\text{ cm}^2$

$A\approx 683.9408\text{ cm}^2$

Area of 10 triangular pieces is:

$10* 683.9408=6839.408\text{ cm}^2$

The rate is 5 paisa per square cm. So, the total cost is:

6839.408* 5=34197.04

Therefore, the total cost is 34197.04 paisa.