Question

> 1)A Rectangle has length 6 m and breadth 2 1/4 m.How many squares of side 3/4 meters can be cut off from it?


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Answer 1

Answer:

Given ,

• Length of rectangle = 6m
• Breadth = 2¼m = 9/4 m = 2.25
• Side of square = 3/4 m = 0.75

Let us find area of square = Side² = ( 0.75)²= 0.56m²

Now , area of rectangle = l×b = 6×2.25 = 13.5m²

Now ,

No. of squares can be cut out of it = Area of rectangle/area of square

→ (13.5)/(0.56)

→ 24.10 ≈ 24

Hence, 24 squares can be cut out of it

Answer 2

Answer:

24 squares can be cut off from the rectangle.

Step-by-step explanation:

Dimensions of rectangle:

Length (L) = 6 m

Breadth (B) = $2\frac{1}{4}$m = $\frac{9}{4}$m

Dimensions of square:

Side (S) = $\frac{3}{4}$m

Number of squares that cut off from the rectangle

$= \dfrac{\textsf{Area of rectangle}}{\textsf{Area of square}}$

$=\dfrac{\sf{L\times B}}{\sf{Side^2}}$

$=\dfrac{\sf{6m \times \frac{9}{4}m}}{\sf{\frac{3}{4}m \times\frac{3}{4}m}}$

$=\dfrac{\sf\frac{27}{2}\cancel{m^2}}{\sf\frac{9}{16}\cancel{m^2}}$

$=\sf{\dfrac{\sf{27}}{\sf2} \times \dfrac{16}{9}}$

$\sf {=24}$

∴ 24 squares can be cut off from the rectangle.

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