Question

in the adjoining figure, ABCD is a parallelogram If CD = 24 cm, BC = 16 cm and the area of the parallelogram is 240 cm. Find the lengths of CE and CF
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Answer 1

16 × CF = 240

CD = 15cm

24 × CE = 240

CE = 10cm

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Answer 2

Answer:

$\sf\huge\green{\underbrace{\red{★Answer↓★}}}:$

$\huge{\fcolorbox{gold}{blue}{CE = 10cm}}$

$\huge{\fcolorbox{green}{Red}{CF = 15cm}}$

Step-by-step explanation:

DC = 24 cm

CE $\perp$ DC

Therefore, CE is the height

Since,

Area of the parallelogram = 240cm

Let the length of CE be x

$\therefore$ Area = DC×CE

$240 = 24 \times x$

$\frac{240}{24} = x$

$10 = x$

• Therefore, length of CE is 10cm

Now,

BC = 16cm

CF$\perp$BC

Area of the parallelogram = 240cm²

Let the length of CF be y

$240 =1 6 \times y$

$\frac{240}{16} = y$

$15 = y$

• Therefore, the length of CF is 15cm