Meredith designs triangular shelves with dimensions as shown below.
What is the area of the triangle in square centimeters?
Responses
A 1,257.3 cm21,257.3 cm 2
B 628.65 cm2628.65 cm 2
C 109.2 cm2109.2 cm 2
D 1,451.61 cm2
To find the area of the triangular shelf, we can use the formula for the area of a triangle: A = 1/2 * base * height.
First, we need to find the base and height of the triangle. Looking at the dimensions given, we see that the base is 39.5 cm and the height is 71.6 cm.
Now, we can calculate the area:
A = 1/2 * 39.5 cm * 71.6 cm
A = 0.5 * 2822.2 cm^2
A = 1411.1 cm^2
Therefore, the area of the triangle is 1,411.1 cm^2.
This is closest to option:
D) 1,451.61 cm2