Question

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Answer 1

Stain required to stain the ramp = 2 quarts

Explanation:

Area of the wheelchair ramp to be stained = Surface area of the ramp - Area of the rectangular base

Surface area of the ramp = 2(area of the triangular base) + (perimeter of the base)(height)

Area of the triangular base =
`(1)/(2)(\text{Base})(\text{Height of the triangle})`

=
`(1)/(2)(25)((25)/(12))`

=
`(625)/(24)` in²

Perimeter of the triangular base =
`25(1)/(12)+25+(25)/(12)`

= 25 +
`(1)/(12)` + 25 +
`(25)/(12)`

= 50 +
`(26)/(12)`

= 50 +
`2+(2)/(12)`

=
`52(1)/(6)` ft

Surface area of the ramp =
`(625)/(12)` +
`(52(2)/(12))* 5` - 25×5

=
`(625)/(12)+(3130)/(12)-125`

=
`(3755)/(12)-125`

= 187.92 square feet

Since, 100 square feet area is covered by the stain = 1 quart

Therefore, 187.92 square feet will be covered by the stain =
`(187.92)/(100)`

= 1.8792

≈ 2 quarts