Question

The length and breadth of a rectangle are in the ratio 10:7 its perimetee is 68 cm then find its area​

Answer 1

Answer:

$280 {cm}^{2}$

Step-by-step explanation:

let the length and breadth of rectangle be 10x and 7x

we know that perimeter of a rectangle is

2(l+b)

now,

68 = 2 (10x + 7x)

68 = 2×17x

34x = 68

x = 68 /34

x = 2

so, the length of the rectangle = 10x = 10×2

= 20cm

and breadth of the rectangle = 7x = 7×2

= 14cm

we know that area of a rectangle is

length × breadth

= (20 ×14)cm

$280 {cm}^{2}$

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Answer 2

S O L U T I O N :

$\underline{\bf{Given\::}}$

• The length of a rectangle be 10x
• The breadth of a rectangle be 7x
• Perimeter = 68

$\underline{\bf{Explanation\::}}$

As we know that formula of the perimeter of rectangle;

$\boxed{\bf{Perimeter = 2(length + breadth)}}$

A/q

$\mapsto\tt{2(l+b) = 68}$

$\mapsto\tt{2(10x+7x)=68}$

$\mapsto\tt{2(17x)=68}$

$\mapsto\tt{34x = 68}$

$\mapsto\tt{x = 68/34}$

$\mapsto\tt{x = \cancel{68/34}}$

$\mapsto\bf{x = 2\:cm}$

Now,

• Length, (L) = 10x = (10 × 2) cm = 20 cm
• Breadth, (B)  = 7x = (7 × 2) cm = 14 cm

______________________________

As we know that formula of the area of rectangle;

$\boxed{\bf{Area = Length \times breadth\:\:(sq.unit)}}$

→ Area = L × B

→ Area = 20 cm × 14 cm

→ Area = 280 cm²

Thus,

The area of their rectangle will be 280 cm² .