Question

33.
While selling clothes for making flags, a shopkeeper claims to sell each piece
of cloth in the shape of an isosceles triangle of area 68 cm', while actually he
was selling the same in the shape of a scalene triangle with sides 8 cm, 15 cm
and 17cm.
a) How much cloth in cm² was he saving while selling material for each flag?
b) How much money will he save if he sold the cloth for 200 flags at the rate
of F4 per cm?​

Answer 1

Answer:

a) 8 cm²

b) ₹6400

Step-by-step explanation:

Fake Area = 68 cm²

Using Heron's Formula:

Real Area = √20(20-8)(20-15)(20-17)

Real Area = √(20×12×5×3)

Real Area = √(60×60)

Real Area = √60×60

Real Area = 60 cm²

∴ He saves 8 cm² of cloth

In 200 flags he will save 1600 cm² of cloth.

∴ He will save 1600 cm² × 4 = ₹6400

Hope it Helps :)