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


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

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1.

A garden in the shape of a rectangle 60 m long and 35 m broad has two paths running in the middle of it, one being parallel to its length and the other being parallel to its breadth. Find the area (in m2) of the shaded region given that the breadth of each path is 4 m. quadrilateral : rectangle
 
Hint      

2.

Calculate the perimeter (in cm) of the quadrilateral EFGH in which EF = 21 cm, GH = 37 cm, EH = 28 cm, FH = 35 cm and ∠GFH = 90°. quadrilateral
 
Hint      

3.

Find the area (in cm2) of the quadrilateral PQRS in which PQ = 18 cm, QR = RS = 25 cm, PS = 24 cm and ∠QPS = 90°. quadrilateral
 
Hint      

4.

Calculate the area (in cm2 upto two decimal places) of the quadrilateral PQRS in which PQ = 30 cm, QR = 24 cm, PR = 18 cm, RS = 30 cm and PS = 44 cm. quadrilateral
 
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5.

Find the area (in cm2) of a trapezoid PQRS in which PQ || RS, PQ = 72 cm, QR = 20 cm, RS = 56 cm and PS = 12 cm.
 
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6.

Calculate the area (in cm2) of the quadrilateral EFGH in which EF = 24 cm, GH = 34 cm, EH = 18 cm, FH = 30 cm, ∠FEH = 90° and ∠GFH = 90°. quadrilateral
 
Hint      

7.

Calculate the area (in m2) of the farm ABCDE in which AZ = 4 m, BY = 15 m, CX = 16 m, DX = 28 m, EZ = 20 m and XZ = 8 m. quadrilateral
 
Hint      


 
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