Question

A rectangular metal plate measuring 24 cm by 16 cm is cut up into small squares of side length 4 cm.How many squares will be cut??​

Answer 1

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Length of metal plate :- 24 cm

Breadth of metal plate :- 16 cm

Area of metal plate :- L × B

=> 24 × 16

=> 384 cm²

Side of square :- 4 cm

Area of square = (Side)²

=> (4)²

=> 16 cm²

Number of squares that can be cut

=> $\dfrac{Area\:of\:Metal\:Plate}{Area\:of\:Square}$

=> $\dfrac{384\:cm²}{16\:cm²}$

=> $\dfrac{\cancel{384\:cm²}}{\cancel{16\:cm²}}$

=> 24 Squares

Answer 2

Before, finding the answer. Let's find out on how we can find the answer.

• First, we have to find the Area of Rectangle by using the formula of :

$\boxed{\sf Area \: of \: Rectangle = l \times b}$

• Next, we have to find the Area of Square by using the formula of :

$\boxed{\sf Area \: of \: Square = s \times s}$

• Now, we have to divide the Area of Rectangle by the Area of Square.

___________________________

Given :

• Measures of Rectangular Plate = 24 cm and 16 cm
• Measure of Square = 4 cm

To find :

• how many squares will be cut.

Solution :

Area of Rectangle = l × b

                              = 24 × 16

                              = 384 cm²

Area of Square = s × s

                          = 4 × 4

                          = 16 cm²

No of Squares = $\sf \dfrac{Area \: of \: Rectangular \: Plate}{Area \: of \:Square}$

                        = $\sf \dfrac{384}{16}$

                        = 24

∴ 24 squares can be cut from the Rectangle.