Question

Please help me...A right triangle has an area of 24ft^2. The dimensions of the triangle are increased by a scale factor of 6. What is the area of the new triangle.

48ft^2
72ft^2
144ft^2
864ft^2

Answer 1

Answer:

$864\ ft^2$

Step-by-step explanation:

we know  that

The area of a triangle is equal to

$A=\frac{1}{2}bh$

$A=24\ ft^{2}$

$24=\frac{1}{2}bh -------> 48=bh$------> equation A

where

b is the base of the triangle

h is the height of the triangle

In this problem the dimensions of the triangle are increased by a scale factor of $6$

so

the new dimensions of the triangle are

$b=6b, h=6h$

The new area of the triangle will be

$A1=\frac{1}{2}(6b)(6h)$

$A1=18bh$ ------> equation B

Substitute equation A in equation B

$A1=18[48]=864\ ft^2$