Question

Plz HELP PLZ HELP.The design for a new cardboard display is shown below. The designers want to determine how much cardboard they will need to build the display.
The total amount of cardboard the designers will need to build the display is
(blank) square feet.

Answer 1

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Answer:

  62 1/2 square feet

Step-by-step 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.