Question

the length and breadth of a rectangle are in the ratio 4 is to 3 . find the area of rectangle if the perimeter is 224 cm​

Answer 1

Answer:

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Step-by-step explanation:

Given:

Ratio of length and breadth = 8 ∶ 7

Area of rectangle = 224 cm2

Formula used:

Area of a rectangle = Length × Breadth

Perimeter of a rectangle = 2(Length + Breadth)

Calculation:

Let the length and the breadth of the rectangle be 8x and 7x respectively.

Then, the Area of the rectangle = 224 cm2

⇒ 8x × 7x = 224 cm2

⇒ 56x2 = 224 cm2

⇒ x2 = 4

⇒ x = 2 cm

So, length of the rectangle = 8x

⇒ 8 × 2

⇒ 16 cm

and breadth of the rectangle = 7x

⇒ 7 × 2

⇒ 14 cm

Now, Perimeter of the rectangle = 2(Length + Breadth)

⇒ 2(16 + 14) cm

⇒ 2 × 30 cm

⇒ 60 cm

∴ The perimeter of the rectangle is 60 cm.

Answer 2

Answer:

Perimeter of Rectangle - 2(l+b)

so,

224 = 2(4x+3x)

224=14x

14=x

4x= 4×14= 56

3x= 3×14= 42

Area = l×b

A= 56×42

A= 2352 cm²