the area of a square of side 16 cm is the same as that of a rectangle of length 32 cm find its breadth.​

Question

the area of a square of side 16 cm is the same as that of a rectangle of length 32 cm find its breadth.​

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Julia 4 weeks 2021-09-22T23:24:31+00:00 2 Answers 0 views 0

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    0
    2021-09-22T23:25:41+00:00

    Answer:

    Answer:

    • Breadth, b=8cm

    Given:

    • Area of the square of side, a=16cm
    • Length of the rectangle, l=32cm
    • Area of the square=Area of the rectangle

    To find:

    • Breadth of the rectangle,b=?

    Solution:

    As we know that,

    Area of the square=

    Area of the rectangle=b

    Since they are equal.

    =b

    16×16=32×b

    b=256/32

    b=16/2

    b=8cm

    So, The breadth of the rectangle, b=8cm

    Step-by-step explanation:

    Hope it helps you.......

    0
    2021-09-22T23:26:00+00:00

    Breadth = 8 cm

    Given:

    • Area of square and rectangle is same.
    • Measure of side of square is 16 cm.
    • Measure of length of rectangle is 32 cm.

    To Find:

    • What is the breadth of rectangle ?

    Solution: Let the breadth of rectangle be b cm.

    As we know that

    Ar. of Rectangle = Length•Breadth

    \implies{\rm } Area = 32 \times b

    \implies{\rm } Area = 32b cm²….(1)

    Now, Find the area of square

    \implies{\rm } Area = 16²

    \implies{\rm } Area = 256 c…(2)

    A/q

    • Equation 1 = 2

    ➭ 32b = 256

    ➭ b = 256/32

    ➭ b = 8 cm

    Hence, the breadth of rectangle is 8 cm.

    ____________________

    ★ Verification ★

    ➼ Area of sq = Area of rect

    ➼ 16² = 32(8)

    ➼ 256 = 256

    \large\boxed{\texttt{Verified}}

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