Question
Asked Jan 17, 2019
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the length of a rectangle is a two digit number with identical digits (aa). the width is 1/10 of the length. the perimeter is 2 times the area of the rectangle. find the length and width

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Expert Answer

Step 1

Given the length of the rectangle is two digit number with same digits aa. As a is in units place and tens place we can write length of the rectangle as 11a.

The width of the rectangle is one by tenth of the length so width is (11a/10).

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Step 2

Here the formulas of area and perimeter of rectangle are mentioned and the length and width values we have are plugged in. We can see the final equations after simplification.

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Step 3

Here the given constraint is twice the area of rectangle is equal to perimeter of rectan...

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Math

Algebra