Question

A rectangular floor of dimensions 8.4 x 5.4 it is to be tilted with right triangular marble pieces with the base 40 cm and height 30 cm how many marble piece will be required to cover floor

Answer 1

✬ 756 Marble pieces ✬

Step-by-step explanation:

Given:

• Dimensions of rectangular floor is 8.4 x 5.4 cm.
• Base of triangle is 40 cm and height is 30 cm.

To Find:

• How many marble pieces will be required to cover the floor ?

Solution: First finding the area of rectangular floor.

➙ Length of floor = 8.4 m or 840 cm

➙ Breadth of floor = 5.4 cm or 540

★ Ar. of Rectangle = Length • Breadth ★

$\implies{\rm }$ Ar. of floor = (840 $\times$ 540) m²

$\implies{\rm }$ 453600 m².

So, the area of rectangular floor is 453600 cm².

Now , Find the area of each marble piece that is in form of triangle.

As we know that

★ Area of ∆ = 1/2(Base)(Height) ★

$\implies{\rm }$ Ar. of marble = 1/2(40)(30)

$\implies{\rm }$ 1 $\times$ 20 $\times$ 30

$\implies{\rm }$ 600 cm².

∴ Total marble pieces required = Area of floor/Area of marble piece

➬ 453600 cm²/600 cm²

➬ 756 marble pieces.

Hence, 756 triangular marble pieces will be required to cover the floor.