Answer:
Yellow: 420 in²
Pink: 576 in²
Total: 996 in²
Explanation:
This is a composite figure and each section, the pink and yellow, need to be solved separately and then added together.
Yellow Section: it's a triangle, so the triangle area formula should be used.
A = (b*h)/2 (original equation)
A = ((12+12)*35)/2 (substitute values)
A = (24*35)/2 (add)
A = 840/2 (multiply)
A = 420 (divide)
The area of the yellow section is 420 sq. in.
Pink Section: it's a square, so the formula of a square should be used.
A = (b)² (original equation)
A = (12+12)² (substitute values)
A = 24² (add)
A = 576 (square value)
The area of the pink section is 576 sq. in.
Total Area: add the individual areas together.
A = 420 + 576 (equation)
A = 996 (add)
The total area is 996 sq. in.