The pair of figures to the right are similar. The area of one figure is given. Find the area of the other figure to the nearest whole number.
area of larger triangle =135 ft2
8ft
6ft
To find the area of the smaller triangle, we can use the property of similar figures that corresponding sides are proportional.
The ratio of the sides of the larger triangle to the smaller triangle is:
8ft / x = 6ft / 6ft
8/x = 6/6
8/x = 1
x = 8
So, the smaller triangle has sides of 6ft and 8ft. The area of the smaller triangle can be calculated using the formula for the area of a triangle:
Area = 1/2 * base * height
Area = 1/2 * 6ft * 8ft
Area = 24 ft^2
Therefore, the area of the smaller triangle is 24 ft^2.