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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.

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      

2.

Find the area (in cm2 upto two decimal places) of the quadrilateral PQRS in which PS = 30 cm, ΔQRS is equilateral with each side equal to 34 cm and ∠QPS = 90°. quadrilateral
 
Hint      

3.

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      

4.

The shaded region of the given figure is a concrete ground 34 m long and 12 m broad. Its three sides are bordered by grass strips of uniform breadth 3 m. Find the area (in m2) that is covered with grass. quadrilateral : rectangle
 
Hint      

5.

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      

6.

Find the area (in cm2 upto one decimal place) of the trapezoid ABCD in which AB = 32 cm, BC = AD = 14 cm and CD = 20 cm. quadrilateral : trapezoid
 
Hint      

7.

Find the length of RT (in cm) from the figure given that PQ = 7 cm, PS = 8.4 cm, ∠PSQ = 90° and the area of the quadrilateral PQRS is 48.72 cm2.
Note that RT is the height of ΔQRS.quadrilateral
 
Hint      


 
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