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33 votes
Please help me with math

the diagram below shows the plan of the first floor of a double storey house

1. calculate the area, in cm² of bedroom 1. express the answer in standard form ​

Please help me with math the diagram below shows the plan of the first floor of a-example-1
User Moohkooh
by
2.4k points

1 Answer

15 votes
15 votes

Answer:

  • 24.15 m²

Explanation:

Spit the shape of the bedroom 1 into rectangle and trapezoid, then calculate each area, then add them together.

Dimensions of rectangle:

  • 3 m by (1.7 + 3.4 + 1.7) = 6.8 m

Its area:

  • 3*6.8 = 20.4 m²

Dimensions of trapezoid:

  • 1 m height, bases 2.2 m and (6.8 - 1.5) = 5.3 m

Its area:

  • 1*(2.2 + 5.3)/2 = 3.75 m²

Area of the room:

  • 20.4 + 3.75 = 24.15 m²

User Nashawn
by
3.0k points