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??

2 thoughts on “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??”

1. [tex]\huge\star\underline{\mathtt\red{A}\mathtt\green{N}\mathtt\blue{S}\mathtt\purple{W}\mathtt\orange{E}\mathtt\pink{R}}\star\:[/tex]

   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

   => [tex]\dfrac{Area\:of\:Metal\:Plate}{Area\:of\:Square}[/tex]

   => [tex]\dfrac{384\:cm²}{16\:cm²}[/tex]

   => [tex]\dfrac{\cancel{384\:cm²}}{\cancel{16\:cm²}}[/tex]

   => 24 Squares

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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 :

   [tex]\boxed{\sf Area \: of \: Rectangle = l \times b}[/tex]

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

   [tex]\boxed{\sf Area \: of \: Square = s \times s}[/tex]

   • 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 = [tex]\sf \dfrac{Area \: of \: Rectangular \: Plate}{Area \: of \:Square}[/tex]

   = [tex]\sf \dfrac{384}{16}[/tex]

   = 24

   ∴ 24 squares can be cut from the Rectangle.

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