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

2.

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

3.

If the area of a trapezoid is 243 m2 and its parallel sides are 15 m and 12 m, find the distance (in m) between them.
 
Hint      

4.

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      

5.

The diagonals of a quadrilateral intersect at right angles. The lengths of the diagonals are 16 cm and 13 cm respectively. Calculate the area (in cm2) of the quadrilateral.
 
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6.

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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7.

Calculate the area (in cm2) of a trapezoid whose parallel sides are 20 cm and 30 cm respectively and the distance between them is 9 cm.
 
Hint      


 
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