Question

A rectangle of area 1200cm2 . it is 4x cm long and 3x cm wide. find the length and width.

Answer 1

Answer:

Step-by-step explanation:

given area=1200

length=4x

breadth=3x

12x^2=1200

x^2=100

x=10

length=40

breadth=30

Answer 2

$\bold{\huge{\underline{\underline{\rm{ solution: }}}}}$

$⟼\text{Area of rectangle = {1200cm}}^{2}$

$:⟹ \text{length}\times \text{breadth} = {1200 \text{cm}}^{2}$

$⟹ \text {4x} \times \text{3x} = {1200 \text{cm}}^{2}$

$⟹ \text{ {12 x}}^{2} = {1200 \text{cm}}^{2}$

$⟹ { \text{x}}^{2} = \cancel \frac{1200}{12} { \text{cm}}^{2}$

$⟹ \text{ {x}}^{2} = {100 \:\text{cm}}^{2}$

$⟹ \text{x } = \sqrt{100 } { \text{cm}}^{2}$

$⟹ \text{x} = 10 \text{cm}$

Therefore,

Length = 4x = 4 × 10 cm =40 cm

Breadth = 3x = 3 × 10 cm = 30cm

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