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A rectangular field is 48 m long and 12 m wide. How many right triangular flower beds can be laid in this field, if sides including the right angle measure 2 m and 4 m, respectively? - Mathematics

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Question

A rectangular field is 48 m long and 12 m wide. How many right triangular flower beds can be laid in this field, if sides including the right angle measure 2 m and 4 m, respectively?

Sum

Solution

Given, dimenstions of a rectangular field = 48 m × 12 m

and dimensions of a right angled triangle = 2 m × 4 m

∴ Number of right triangular flower beds = `"Area of filed"/"Area of right angled triangle"`

= `(48 xx 12)/(1/2 xx 2 xx 4)`     ......`[(∵ "Area of rectangle" = "Length" xx "Breadth and area"),("of a right angled triangle" = 1/2 xx "Height" xx "Breadth")]`

= 144

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Chapter 9: Perimeter and Area - Exercise [Page 294]

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NCERT Exemplar Mathematics [English] Class 7
Chapter 9 Perimeter and Area
Exercise | Q 120. | Page 294

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