Question

A plot of land of length 75 m and width 45 m has a 7 m wide pathway running lengthwise through it. Find the area of the pathway and the area of the remaining plot.​

Answer 1

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Answer 2

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Two plots of land have the same perimeter. One is a square of side 64 m and the other a rectangle with length 80 m. Which plot has the greater area and by how much?

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Solution

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Perimeter of square =4×side

=4×64

=256cm

Perimeter of Rectangle = Perimeter of square

⇒2×(length+breadth)=256

⇒2×(80+breadth)=256

⇒breadth=48cm

Area of square =side×side

=64×64

=4096cm

2

Area of rectangle = =l×b

=80×48

=3840cm

2

Area of Square is greater than Area of Rectangle.