Question

The length of a rectangle board is 10 centimeters longer than its width. The width of the board is 26 centimeters. The board is cut into 9 equal pieces. What is the area of each piece? What are the possible dimensions of each piece? (Take the dimensions to be whole numbers.)

Answer 1

Area of each piece = 104
`cm^(2)`

Possible dimensions are 26 cm by 4 cm, 13 cm by 8 cm.

Explanation:

Given that:

Dimensions of the rectangular board as:

Length of the board is 10 cm longer than its width.

Width of the board = 26 cm

Length of the board = 26 + 10 = 36 cm

The rectangular board is divided into 9 equal pieces.

To find:

Area of each piece and

the possible dimensions of each piece = ?

Solution:

First of all, let us calculate the area of bigger rectangular board.

Area of a rectangle is given by the following formula:

`Area = Length * Width`

Area = 26
`*` 36
`cm^2`

Area of each smaller rectangle =
`(26* 36)/(9) = 104\ cm^2`

To find the possible dimensions, we need to find the factors of 104.

104 = 26
`*` 4

104 = 13
`*` 8

Therefore, the Possible dimensions are 26 cm by 4 cm

and

13 cm by 8 cm.