MATH SOLVE

4 months ago

Q:
# the area of a triangle is 124 square units. what would it's new area be if its base was half as long and its height was three times as long?

Accepted Solution

A:

To solve this problem you must apply the proccedure shown below:

1. You have that the formula for calculate the area of a triangle is:

A=bh/2

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

bh/2=124

bh=124x2

bh=248

2. The problem asks for the new area of the triangle if its base was half as long and its height was three times as long. Then, you have:

Base=b/2

Height=3h

3. Therefore, when you substitute this into the formula for calculate the area of a triangle, you obtain:

A'=bh/2

(A' is the new area)

A'=(b/2)(3)/2

A'=3bh/4

4. When you substitute bh=248 into A'=3bh/4, you obtain:

A'=186 units²

The answer is: 186 units²

1. You have that the formula for calculate the area of a triangle is:

A=bh/2

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

bh/2=124

bh=124x2

bh=248

2. The problem asks for the new area of the triangle if its base was half as long and its height was three times as long. Then, you have:

Base=b/2

Height=3h

3. Therefore, when you substitute this into the formula for calculate the area of a triangle, you obtain:

A'=bh/2

(A' is the new area)

A'=(b/2)(3)/2

A'=3bh/4

4. When you substitute bh=248 into A'=3bh/4, you obtain:

A'=186 units²

The answer is: 186 units²