Question

2. Santiago wants the lateral surfaces of the

Answer 1

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  = $\frac{1}{2} length \times height$

The area of the triangle  = $\frac{1}{2} (20 \times 8.5)$

The area of the triangle  = $\frac{170}{2}$    

The area of the triangle = 85 square feet

Area of 2 triangles = $85 \times 2$  =  170

Step 2: Finding the  Area of Rectangle

Area of rectangle = $length \times height$

so,

Area of back rectangle = $12 \times 8.5$ = 102  square feet

Step 3: Finding the total lateral surface area

Total Lateral Surface Area

= Area of triangle + Area of Rectangle

= 272 square feet