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 please answer me guys fast please step by step​

Answer 1

perimeter of rectangle =2(l+b)

perimeter =2*24+16

perimeter =2*40=80 cm

perimeter of square =4 *side

perimeter =4*4= 16 cm

squares that can be cut =80/16= 5 squares

hence, 5 squares can be cut out of that rectangle .

thank you for asking the question.

Answer 2

Answer:

What we have to do ?

It is said that the length of the rectangular metal plate is 24 cm and breadth is 16 cm respectively. Then, no. of squares cut from that sheet. The side of each square is given as 4 cm.

So, We will first find out the area of the metal plate and then will find the area of each square. After that, by dividing the area of metal plate by the area of one square we will get our answer.

Let's do it now :

Formula Required :

${\boxed{\sf{Area \: of \: Rectangle = Length \times Breadth}}}$

${\boxed{\sf{Area \: of \: Square = Side^{2} }}}$

Now, For Area of Metal Plate :-

$\longrightarrow \sf Length = 24$

$\longrightarrow \sf Breadth = 16$

Therefore,

$\dashrightarrow\:\:\sf Area \: of \: plate = Length \times Breadth$

$\dashrightarrow\:\:\sf Area \: of \: plate = 24 \times 16$

$\dashrightarrow\:\:\sf Area \: of \: plate = 384$

$\dashrightarrow\:\: \underline{ \boxed{\sf Area \: of \: Plate = 384 \: cm^{2} }}$

__________________________

Now, For Area of one Square :-

$\longrightarrow \sf Side = 4$

$:\implies \sf Area \: of \: square = Side^{2}$

$:\implies \sf Area \: of \: square = 4^{2}$

$:\implies \sf Area \: of \: square = 16$

$\dashrightarrow\:\: \underline{ \boxed{\sf Area \: of \: Square = 16 \: cm^{2} }}$

__________________________

Hence, No. of Cubes -

$\dashrightarrow\:\:\sf Squares = \dfrac{Area \: of \: Plate}{Area \: of \: one \: square}$

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

$\dashrightarrow\:\:\sf No. \: of \: square = 24$

$\dashrightarrow\:\: \underline{ \boxed{\sf Number \: of \: Squares = 24 }}$

Hence, 24 such squares will be cut from that rectangular metal plate.