Rectangles same perimeter and different area answers


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Rectangles same perimeter and different area answers

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Updated On: 27-06-2022

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Draw to different rectangles having the same perimeter. Compare their areas Are they same? Can you draw two different square having the same perimeter.

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. Figures with same area may have different perimeter?

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If a rectangle and a parallelogram are equal in area and have the same base and are situated on the same side, then the quotient: `"Perimeter of rectangle"/"Perimeter of parallelogram"` is -

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A rectangle and a square have the same perimeter (Fig. 6.10). <img src="https://doubtnut-static.s.llnwi.net/static/physics_images/NCERT_EXM_MAT_VI_C06_E01_012_Q01.png" width="80%"> <br> (a) The area of the rectangle is……... <br> (b) The area of the square is………..

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Compare the areas of a equilateral triangle and a square of same perimeter.

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Two squares having same perimeter are congruent.

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Rectangles same perimeter and different area answers

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Which rectangle has the same perimeter and area?

The only equable rectangles with integer sides are the 4 × 4 square and the 3 × 6 rectangle. An integer rectangle is a special type of polyomino, and more generally there exist polyominoes with equal area and perimeter for any even integer area greater than or equal to 16.

Can shapes with the same perimeter have different areas?

It is not always the case that shapes with the same area have the same perimeter. Likewise, it is not always true that shapes with the same perimeter have equal area.

Does the same area equal the same perimeter?

The perimeter will always be even, because the length is multiplied by 2, making it even, and is added to the width which has been multiplied by 2, also making it even. But if both the length and the width are odd, then the area will be odd, meaning that it is impossible for the perimeter to be the same as the area.

Can 2 different rectangles have the same area?

Objective: Students will discover that multiple rectangles can have the same area, yet their perimeter will be different.