A carpenter is installing linoleum for the floor. It costs $2.50 to install a square meter of linoleum. How much will it cost to install linoleum for the entire room?

Explanation:

We need to find the total area first.

Break the figure into 2 parts. The part on the left is a rectangle, and the portion on the right side is a nonrectangular parallelogram.

The rectangle's area is 25*20 = 500 square meters.

The parallelogram's area is 18*10 = 180 square meters.

The formula to find the area of each is base*height

The total area of the entire figure is 500+180 = 680 square meters.

Since 1 square meter of linoleum costs $2.50, this means 680 square meters cost 680*2.50 = 1700 dollars.

δabc ≅ δdcb by sas because

db ≅ ac . . given (side)

bc ≅ bc . . reflexive property (side)

∠dbc ≅ ∠ acb . . alternate interior angles where transversal bc crosses parallel lines bd and ac (included angle)