Question

12. In Fig. 18.22, ABCD is a parallelogram, DE perpendicular AB, AB=60 m and
AD=50 m. If the area of the parallelogram is 2400 sq m, find 'AE.​

Answer 1

Solution:

Given: ABCD is a parallelogram, in which

DE perpendicular to AB,

AB = 60 m and

AD = 50 m

Area of a parallelogram = 2400m2

$= > base \times height = 2400m2$

$= > 60m \times h = 2400m2$

$= > 60 \times h = 2400m$

$= > h = \frac{2400}{60} m$

$= > h = 40m$

$= > de = 40m$

AE = √AD² - DE2 (here DE2 is DE sq.)

= √50² - 40²

= √(50+40) (50-40)

= √90 × 10

= √9 × 10 × 10

= √3 × 3 × 10 × 10

= 3 × 10

=30. (Ans)

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