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RUDIKE [14]
3 years ago
6

The length of the rectangle is 5 inches more than twice the length of the side of the square

Mathematics
1 answer:
crimeas [40]3 years ago
3 0

Answer:

The length of Rectangle is (5 + 2 s) inches and                                           width of rectangle is  \dfrac{s^{2} }{5 + 2 s} inches  .

Step-by-step explanation:

Given as :

The length of the rectangle is 5 inches more than twice the length of the side of the square

The area of Rectangle = The area of square

Let the side of the square = s inches

So, The Area of square = side × side

I.e The Area of square = s × s = s²  inches²

Again

Let The length of rectangle = L inches

And The width of rectangle = w inches

So, The Area of Rectangle = ( L × w ) inches²

So, <u>According to question</u>

The length of rectangle = 5 inches + twice length of square side

I.e L = ( 5 + 2 s ) inches

<u>∵ Both The area same</u>

So, L× w = s²

Or, w = \dfrac{s^{2} }{L}

or,  w = \dfrac{s^{2} }{5 + 2 s} inches

So, The measure of length of Rectangle = L = (5 + 2 s) inches and width of rectangle = w = \dfrac{s^{2} }{5 + 2 s} inches

Hence, The measure of length of Rectangle is (5 + 2 s) inches and width of rectangle is  \dfrac{s^{2} }{5 + 2 s} inches  . Answer

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