Question

4. If the ratio of the length to breadth is 8:10 and perimeter of the rectangle is 1440 meter, then
find its length and breadth.​

Answer 1

Answer:

Length = $\boxed{320m}$

Breadth = $\boxed{400m}$

Step-by-step explanation:

Given, Perimeter = 1440 m

Let, the common ratio be x.

∴ Length = 8x ; Breadth = 10x

Now,

Perimeter = 2(length+breadth)

⇒ 1440 m = 2 (8x + 10x)

⇒ 1440 m = 2(18x)

⇒ 1440 m = 36x

⇒ 1440/36 = x

⇒ x = 40

∴ Length = 8x = 8×40 = 320m

Breadth = 10x = 10×40 = 400m

Hope this helps❤️

Answer 2

Step-by-step explanation:

Length = \boxed{320m}320m

Breadth = \boxed{400m}400m

Step-by-step explanation:

Given, Perimeter = 1440 m

Let, the common ratio be x.

∴ Length = 8x ; Breadth = 10x

Now,

Perimeter = 2(length+breadth)

⇒ 1440 m = 2 (8x + 10x)

⇒ 1440 m = 2(18x)

⇒ 1440 m = 36x

⇒ 1440/36 = x

⇒ x = 40

∴ Length = 8x = 8×40 = 320m

Breadth = 10x = 10×40 = 400m

Hope this helps❤️

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