The length of a rectangular plot exceeds its breadth by 5 metre. If the perimeter of the plot is 142 metres, find the area of the plot​

Question

The length of a rectangular plot exceeds its breadth by 5 metre. If the perimeter of the plot is 142 metres, find the area of the plot​

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Ruby 1 month 2021-08-19T21:29:02+00:00 2 Answers 0 views 0

Answers ( )

    0
    2021-08-19T21:30:16+00:00

    Step-by-step explanation:

    Let

    Breadth = b

    length = b + 5

    Perimeter = 2(l+b)

    142 = 2(b+b+5)

    142 = 2(2b+5)

    142/2=(2b)+(5)

    71=2b+5

    71-5=2b

    66=2b

    b=66/2

    b=33 m

    l=b+5

    l=38 m

    Area = lb

    38 x 33 = Area

    Area = 1254 m

    0
    2021-08-19T21:30:18+00:00

    Answer:

    let the breadth be x

    length =x+5

    perimeter of a rectangle =2(l+b)

    142=2(x+5+x)

    142=2x+10+2x

    142-10=4x

    132=4x

    x=132/4

    x=33

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