Answer:
262 square feet of the ramp will be painted red.
Step-by-step explanation:
The lateral surface is surface area of the sides of the ramp without including the top and bottom faces
The ramp shown has three surfaces
The 2 sides are triangles with length 20 and height 8.5
The back is a rectangle shape with length 12 and height 8.5
Step 1: Finding the Area of triangle
The area of the triangle = [tex]\frac{1}{2} length \times height[/tex]
The area of the triangle = [tex]\frac{1}{2} (20 \times 8.5)[/tex]
The area of the triangle = [tex]\frac{170}{2}[/tex]
The area of the triangle = 85 square feet
Area of 2 triangles = [tex]85 \times 2[/tex] = 170
Step 2: Finding the Area of Rectangle
Area of rectangle = [tex]length \times height[/tex]
so,
Area of back rectangle = [tex]12 \times 8.5[/tex] = 102 square feet
Step 3: Finding the total lateral surface area
Total Lateral Surface Area
= Area of triangle + Area of Rectangle
= 272 square feet
