Question

The triangle will be enlarged by a scale factor of 10. mc018-1.jpg What will be the area of the new triangle? 35 square cm 700 square cm 3,500 square cm 7,000 square cm

Answer 1

The correct option is 3.

Explanation:

The area of a triangle is

`A=(1)/(2)* b* h`

Where, b is base of the triangle and h is the height of the triangle.

From the given figure it is noticed that the base of the triangle is 10 cm and the height of the triangle is 7 cm.

The triangle enlarged by a scale factor of 10. Now,

`Base=10* 10=100`

`height=7* 10=70`

The area of new triangle is

`A=(1)/(2)* 100* 70`

`A=3500`

Therefore the area of new triangle is 3500 cm². Option 3 is correct.

Answer 2

The original area is
A₁ = (1/2)*10*7 = 35 cm²

When scaled by a factor of 10, the base of the triangle is 100 cm and the height is 70 cm.
The new area is
A₂ = (1/2)*100*70 = 3500 cm²

Answer: 3500 cm²