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5 votes
5 votes
3.

You want to put siding on a house that is 18 meters long and 14 meters wide. The walls
are 4 meters high. There are two windows, each measuring 1.5 m by 2 m and a door
that is 1 m wide and 2.5 m high. The siding costs $12.50/m'. How much will it cost to
side the house?

User Fariha Abbasi
by
3.2k points

1 Answer

19 votes
19 votes

Explanation:

I just answered that. so, here again :

all we need to do is find the surface area, deduct windows and door areas.

that gives us the m² to be covered, which we have to multiply by $12.50 to get the total price.

the house surface area is like for a box, but we don't care about the top and the bottom. only about the walls.

the "box" is 18 m × 14 m × 4 m.

so, the front and the back walls are each

18m × 4 m = 72 m²

both front and back : 2×72 = 144 m²

each side wall is

14m × 4m = 56 m²

both sides : 2×56 = 112 m²

now for the deductions.

each window is

1.5 × 2 = 3 m²

both windows : 2×3 = 6 m²

the door is

1 × 2.5 = 2.5 m²

so, the total area to "side" is

144 + 112 - 6 - 2.5 = 247.5 m²

to side 247.5 m² it costs

247.5 × 12.5 = $3,093.75

User DMulligan
by
3.3k points