Find the sides of the rectangle whose sides are in the ratio 4:5 and perimeter is 90 cm ?

Question

Find the sides of the rectangle whose sides are in the ratio 4:5 and perimeter is 90 cm ?

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Gabriella 2 weeks 2021-09-10T15:01:21+00:00 2 Answers 0 views 0

Answers ( )

    0
    2021-09-10T15:02:43+00:00

    Given :-

    • Sides of rectangle are in the ratio 4 : 5
    • Perimeter of rectangle is 90 cm

    To find :-

    • The sides of the rectangle = ?

    Solution :-

    Let the length of the rectangle be 4x cm

    and breadth of the rectangle be 5x cm

    Now,

    we know that,

    \orange{\bigstar}\:\:{\underline{\boxed{\bf\pink{Perimeter=2(Length+breadth)}}}}

    \rm\longrightarrow\:90=2(4x+5x)

    \rm\longrightarrow\:90=8x+10x

    \rm\longrightarrow\:90=18x

    \rm\longrightarrow\:\cancel\dfrac{90}{18}=x

    \rm\longrightarrow\:5=x

    \rm\longrightarrow\:x=5

    Now,we have

    • 4x = 4 × 5 = 20
    • 5x = 5 × 5 = 25

    Hence,the sides of the rectangle will be 20 cm and 25 cm.

    0
    2021-09-10T15:03:04+00:00

    let length =4xcm

    breadth= 5xcm

    we know perimeter of rectangle= 2(l+b )

    90cm = 2(4x+5x)

    90= 2(9x)

    90=18x

    90/18 =x

    5=x

    •°•length = 4×5= 20cm

    breadth = 5×5=25 cm

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