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The Width of a Rectangular Room is 4/7of Its Length, X, and Its Perimeter is Y. Write an Equation Connecting X and Y. Find the Length of the Room When the Perimeter is 4400 Cm - Mathematics

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प्रश्न

The width of a rectangular room is `4/7`of its length, x, and its perimeter is y. Write an equation connecting x and y. Find the length of the room when the perimeter is 4400 cm.

योग

उत्तर

Length of the rectangle = x

Width of the rectangle  = `4/7` x

Hence its perimeter is given by 

2` ( x + 4/7 x )` = y 

2`(( 11x) /7)` =y

`(22x)/7` = y

Again it is given that the perimeter is 4400cm. 

Hence

`(22x)/7` = 4400

x = 1400

Length of the rectangle = 1400 cm = 14 m

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अध्याय 20: Area and Perimeter of Plane Figures - Exercise 20 (B) [पृष्ठ २५५]

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सेलिना Concise Mathematics [English] Class 9 ICSE
अध्याय 20 Area and Perimeter of Plane Figures
Exercise 20 (B) | Q 10 | पृष्ठ २५५
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