Area and Perimeter Practice Test 4

Question : 3 of 40

Marks: +1, -0

Find the area of a parallelogram if two sides are 12 cm and 14 cm and the diagonal connecting the ends is 18 cm.

Solution:

For Δ ABC, s =

{14 + 12 + 18}/2

= 22 cm

Area of Δ ABC =

√{22(22-14)(22-12)(22-18)}

√{22×8×10×4}

√{7040}

= 83.9

cm^2

Since, area of parallelogram ABCD = 2 × area of Δ ABC
= 2 × 83.9
= 167.8

cm^2

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