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

Answer:

Area of each piece = 104 $cm^{2}$

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

Step-by-step 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:

$Area = Length \times Width$

Area = 26 $\times$ 36 $cm^2$

Area of each smaller rectangle = $\frac{26\times 36}{9} = 104\ cm^2$

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

104 = 26 $\times$ 4

104 = 13 $\times$  8

Therefore, the Possible dimensions are 26 cm by 4 cm

and

13 cm by 8 cm.