9514 1404 393
Answer:
62 1/2 square feet
Explanation:
The total area is the area of the central square plus the area of the four triangles.
The area formula for a square is ...
A = s² . . . . for side length s
The area formula for a triangle is ...
A = 1/2bh . . . . for base b and height h
Here, we have a square with side lengths of 5 m, and triangles with a base of 5 m and a height of 3 3/4 m. Then the area of the square plus the area of 4 triangles is ...
A = (5 ft)² + 4×(1/2)(5 ft)(3 3/4 ft) = 25 ft² +37 1/2 ft²
A = 62 1/2 ft²
62.5 square feet of cardboard will be needed to build the display.