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Lesson Example Discussion Quiz: Class Homework

Step-3

Title: Rectangle

Grade: 8-a Lesson: S2-L8

Explanation: Let us verify the answer here with the steps.

Description:

Explanation	Answer
Problem	How many tiles whose length and breadth are 25 cm and 16 cm respectively are needed to cover a rectangular region whose length and breadth are 1360 cm and 225 cm?
Formula used	\$"Area of Rectangle" = "length" \times "width"\$ \$"Number of tiles required" = "Area of plot" / "Area of tiles"\$
Step - 1	Given that, Length of the tile l = 25 cm Breadth of the tile b = 16 cm Rectangular region length = 1360 Rectangular region breadth = 225
Step - 2	Area of the tiles = l x b = 25 x 16 = 400 cm²
Step - 3	\$"Area of Square" = s^2\$ Area of the plot = 1360 x 225 = 306,000 cm²
Step - 4	\$"Number of tiles required" = "Area of plot" / "Area of tiles"\$ = 306000 / 400 = 765
Step - 5	Therefore, the required number of tiles are 765.

Explanation

Answer

Problem

How many tiles whose length and breadth are 25 cm and 16 cm respectively are needed to cover a rectangular region whose length and breadth are 1360 cm and 225 cm?

Formula used

\$"Area of Rectangle" = "length" \times "width"\$

\$"Number of tiles required" = "Area of plot" / "Area of tiles"\$

Step - 1

Given that,

Length of the tile l = 25 cm

Breadth of the tile b = 16 cm

Rectangular region length = 1360

Rectangular region breadth = 225

Step - 2

Area of the tiles = l x b

= 25 x 16 = 400 cm²

Step - 3

\$"Area of Square" = s^2\$

Area of the plot = 1360 x 225

= 306,000 cm²

Step - 4

\$"Number of tiles required" = "Area of plot" / "Area of tiles"\$

= 306000 / 400

= 765

Step - 5

Therefore, the required number of tiles are 765.