Question

A tent is made by stitching 10 triangular pieces of clothes of two different colours, each piece measuring 145 cm, 145 cm and 48 cm. If the total cost of clothes at Rs X per sq.cm is Rs 68640, find the value of x​

Answer 1

Hello,

Here is your answer,

Solution:-

For pieces of triangle,

a = 20 cm , b = 50 cm , c = 50 cm

.°. s = a + b + c / 2

= 20 + 50 + 50 / 2

= 120 / 2

= 60 cm

.°. a triangles area = √ s ( s - a ) ( s - b ) ( s - c )

= √ 60 ( 60 - 20 ) ( 60 - 50 ) ( 60 - 50 )

= √ 60 ( 40 ) ( 10 ) ( 10 )

= 200√6 cm²

.°. one colour of five triangles area ,

= 5 ( 200√6 ) cm²

= 1000√6 cm²

so, there are 1000√6 cm² cloth of each colour is required for the umbrella.

Thank you...