Converted Lengths: See solution. Figure's Area: 1.5 square feet
Practice makes perfect
We want to convert the lengths present on the following diagram to feet. Then, we want to find the area of the figure present on that diagram.
Converting between inches (in) and feet (ft) will involve using a conversion factor.
1ft/12inMultiplying the given lengths by this conversion factor will convert it to feet. Let's first convert 24 inches to feet.
18 inches is 1.5 feet. Let's replace the lengths on our diagram with their values in feet.
Next, we want to find the area of the figure from the diagram. This figure is a right triangle with legs that are 2 feet and 1.5 feet long. In a right triangle, the legs are perpendicular, so every leg is also the height falling onto the other leg. Therefore, the area A of a right triangle is the half product of its legs.
A = 1/2( 2)( 1.5)= 1.5
The figure's area is 1.5 square feet.
