Question

ABCD is a parallelogram d e perpendicular ab if a b 25 cm and area of the parallelogram is 200 then calculate a e​

Answer 1

Answer: 8cm

Step-by-step explanation:Area of llgm = base x height

200cm=AB X DE

200cm = 25cm x DE

200/25 = DE

8cm = DE

Answer 2

AE=15 cm

Step-by-step explanation:

In parallelogram ABCD

AB=25 cm

AD=BC=17 cm

Area of parallelogram=200 square cm

Area of parallelogram =$base\times height$

Using the formula

$200=AB\times DE$

$25\times DE=200$

$DE=\frac{200}{25}=8 cm$

In triangle ADE

$AD^2=AE^2+DE^2$

Using Pythagoras theorem  

$(hypotenuse)^2=(Base)^2+(perpendicular\;side)^2$

$(17)^2=AE^2+8^2$

$289=AE^2+64$

$289-64=AE^2$

$AE^2=225$

$AE=\sqrt{225}=15 cm$

Hence, AE=15 cm

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