If each of the dimensions of a rectangle is increased by 100% then the area is increased by

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If each of the dimensions of a rectangle is increased by 100% then the area is increased by

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Sarah 5 days 2021-09-09T03:29:07+00:00 1 Answer 0 views 0

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    2021-09-09T03:31:06+00:00

    Answer:

    400%

    Step-by-step explanation:

    When length and Breadth are increased by 100% then area of it increases by 4 times that is 400%.

    • Let ‘l’ be the length and ‘b’ be the breadth of a rectangle
    • Area = Length X Breadth = l x b = lb

    Given, Dimensions of a rectangle are increased by 100%

    • so, changed length L = l + 100% l

                  L = l + \frac{100l}{l}

                      = l + l

    Hence, Changed length L = 2l

    • changed Breadth B = b + 100% b

                 B = b + \frac{100b}{b}

                      = b + b

    Hence, Changed Breadth B = 2b

    Changed Area = changed length x Changed Breadth

                            = L x B

                            = 2l x 2b

    Changed Area  = 4 lb

    Hence, when the dimensions of a rectangle is increased by 100% then the area is increased by 400%

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