Answer to Question #170925 in Geometry for Sam Acosta

Question

You conducted an ocular inspection and you have noticed that a rectangular floor measuring 10m and 14m is needed to be made into rooms for patients.Make a model to illustrate the situation with appropriate mathematical solutions

Answer 1

Each piece of brick pave is a square with an edge of 50 cm. How many pieces of brick paves will be needed to cover the rectangular floor that needs fixing?

$50\ cm=0.5\ m$

$$\dfrac{10\ m}{0.5\ m}=20$$

There are 20 pieces of brick paves in row.

$$\dfrac{14\ m}{0.5\ m}=28$$

There are 28 rows.

$$20\times28=560$$

560 pieces of brick paves will be needed to cover the rectangular floor.

Check

Area of one piece

$$A_1=0.5\ m\times0.5\ m=0.25\ m^2$$

Total area of the rectangular floor

$$A_{floor}=10\ m\times14\ m=140\ m^2$$

$$\dfrac{140}{0.25}=560$$

560 pieces of brick paves will be needed to cover the rectangular floor.