Answer:
SA = (224 + 32√3) ft² (exact area)
SA = 279.4 ft² (approximate area)
Explanation:
She is waterproofing 4 faces:
left side, a rectangle 14 ft by 8 ft
right side, a rectangle 14 ft by 8 ft
front side, a triangle with 8 ft base
back side, a triangle with 8 ft base
We need to find the areas of the two rectangles and two triangles.
For the rectangles, we have the lengths and widths.
For the triangles, we have the bases. We need to find the heights.
a² + b² = c²
4² + h² = 8²
h² = 64 - 16
h = √48
surface area = 2LW + 2 × bh/2
SA = 2 × 14 ft × 8 ft + 2 × 8 ft × √(48) ft / 2
SA = 224 ft² + 32√3 ft² (exact area)
SA = 279.4 ft²