Question

2. Santiago wants the lateral surfaces of the

ramp to be painted red. How many square feet
of the ramp will be painted red?
​

Answer 1

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 =
`(1)/(2) length * height`

The area of the triangle =
`(1)/(2) (20 * 8.5)`

The area of the triangle =
`(170)/(2)`

The area of the triangle = 85 square feet

Area of 2 triangles =
`85 * 2` = 170

Step 2: Finding the Area of Rectangle

Area of rectangle =
`length * height`

so,

Area of back rectangle =
`12 * 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