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tamaranim1 [39]
3 years ago
8

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

Mathematics
1 answer:
Nina [5.8K]3 years ago
8 0

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

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