Question

the base of a parallelogram is thrice its height if its area is 675 cm find the measures of base and other diagonal​

Answer 1

Answer:

height is 15

Step-by-step explanation:

base will be 75

Answer 2

Height of parallelogram=15 cm

Base of parallelogram=45 cm

Step-by-step explanation:

Let x be the height of parallelogram

Base of parallelogram=3x

Area of parallelogram=675 square cm

We know that

Area of parallelogram=$base\times height of parallelogram$

Using the formula

$675=x\times 3x=3x^2$

$x^2=\frac{675}{3}=225$

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

Height of parallelogram=15 cm

Base of parallelogram=3(15)=45 cm

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