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Calculate the total area of Mr. Bintum's house, which is composed of a semicircle, a rectangle, and a triangle.
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a) Find the area of Mr. Bintum's house.
Step 1: Calculate the area of section A (semicircle).
The diameter of the semicircle is , so the radius .
The area of a semicircle is given by . We will use .
Step 2: Calculate the area of section B (rectangle).
The length of the rectangle is and the width is .
The area of a rectangle is given by .
Step 3: Calculate the area of section C (triangle).
The height of the triangle is and the hypotenuse is . First, find the base using the Pythagorean theorem ().
Let the base be .
The area of a triangle is given by .
Step 4: Calculate the total area of Mr. Bintum's house.
Total Area =
The area of Mr. Bintum's house is .
b) Find how much Mr. Bintum will spend if he decides to put tiles on the floor of the kitchen at the cost of 2500 FRS per m.
Step 1: Identify the area of the kitchen.
The kitchen is section C, which has an area of .
Step 2: Calculate the total cost of tiling.
Cost = Area of kitchen Cost per m
Mr. Bintum will spend to tile the kitchen.
:
Find the cost of painting the walls at 200 FRS per square meter.
Step 1: Calculate the total area of the walls.
The party hall measures long, wide, and high.
Area of two walls (length height) =
Area of two walls (width height) =
Total wall area = .
Step 2: Calculate the area of the doors and windows.
There are two large doors, each measuring by .
Area of two doors =
There are four large windows, each measuring by .
Area of four windows =
Total area of doors and windows = .
Step 3: Calculate the area to be painted.
Area to be painted = Total wall area - Area of doors and windows
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