Question

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Answer 1

Answer:

Stain required to stain the ramp = 2 quarts

Step-by-step 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 = $\frac{1}{2}(\text{Base})(\text{Height of the triangle})$

                                             = $\frac{1}{2}(25)(\frac{25}{12})$

                                             = $\frac{625}{24}$ in²

Perimeter of the triangular base = $25\frac{1}{12}+25+\frac{25}{12}$

                                                      = 25 + $\frac{1}{12}$ + 25 + $\frac{25}{12}$

                                                      = 50 + $\frac{26}{12}$

                                                      = 50 + $2+\frac{2}{12}$

                                                      = $52\frac{1}{6}$ ft

Surface area of the ramp = $\frac{625}{12}$ + $(52\frac{2}{12})\times 5$ - 25×5

                                          = $\frac{625}{12}+\frac{3130}{12}-125$

                                          = $\frac{3755}{12}-125$

                                          = 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 = $\frac{187.92}{100}$

= 1.8792

≈ 2 quarts