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A rectangle of length 10 units and breadth 8 units is split into two squares each of area x square units and two rectangles each of area y square units. Consider the following statements : 1. y is always greater than x. 2. y can be 15 square units. Which of the above statements is/are correct?

A rectangle of length 10 units and breadth 8 units is split into two squares each of area x square units and two rectangles each of area y square units. Consider the following statements : 1. y is always greater than x. 2. y can be 15 square units. Which of the above statements is/are correct? Correct Answer 2 only

Given :

The length of a rectangle is 10 units and 8 units.

This rectangle is split into two squares and two rectangles

Area of square = x square unit

Area of rectangle = y square unit

Formula used :

Area of square = side2    

Area of rectangle = Length × breadth   

Calculations :

The rectangle of the length of 10 units and breadth of 8 units can be split as

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y is the area of the rectangle and x is the area of square

Using the above formula

⇒ Area of square  = (5)2

⇒ x = 25 unit2

⇒ Area of rectangle = 5 × 3

⇒ y = 15 unit2  

Therefore, y < x

∴ Only statement 2 is correct.

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