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Math - Geometry Lesson Plans : Perimeter & Area of Quadrilaterals I


Mensuration - Solve each exercise problem related to perimeter and area of quadrilaterals given below.

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1.

If the lengths of the diagonals of a rhombus are 18 cm and 40 cm respectively, find its area (in cm2).
 
Hint      

2.

The longer diagonal of a four-sided playground is 100 m. If the lengths of the perpendiculars from the opposite vertices to this diagonal are 11.2 m and 18.8 m respectively, calculate the area (in m2) of the playground.
 
Hint      

3.

The area of a quadrilateral is 1512 m2. The lengths of the perpendiculars from the opposite vertices to a diagonal are 14.6 m and 12.4 m respectively. What is the length (in m) of this diagonal?
 
Hint      

4.

Calculate the area (in cm2) of a rhombus whose one side is 25 cm and one diagonal is 30 cm.
 
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5.

If the perimeter of a rhombus is 68 cm, calculate its area (in cm2) given that its one diagonal is 30 cm.
 
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6.

Find the perimeter (in cm) of a rhombus whose diagonals are 36 cm and 48 cm.
 
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7.

If the area of a parellelogram is 588 m2, find its height (in m) given that its height is thrice its base.
 
Hint      


 
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