Question

The area of a quadrilateral is 540 m². if the perpendicular distance from the opposite vertices is 7cm and 8 cm. Find its diagonals?
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Answer 1

Answer:

72 cm

Step-by-step explanation:

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Answer 2

Given Question :-

• The area of a quadrilateral is 540 m². if the perpendicular distance from the opposite vertices is 7cm and 8 cm. Find its diagonal?

ANSWER

GIVEN :-

• The area of a quadrilateral is 540 m² = 5400000 cm²

• The perpendicular distance from the opposite vertices is 7cm and 8 cm.

TO FIND :-

• Length of diagonal.

FORMULA USED :-

$\boxed{ \green{ \tt \:Area_{(quadrilateral)} = \dfrac{1}{2} (sum \: of \: perpendiculars) \times diagonal }}$

CALCULATION :-

Given that,

• The area of a quadrilateral is 540 m².

• The perpendicular distance from the opposite vertices is 7cm and 8 cm.

• Let the length of diagonal be 'd' cm

So,

Using formula of area of quadrilateral, we have

$\rm :\implies\:5400000 = \dfrac{1}{2} \times (8 + 7) \times d$

$\rm :\implies\:d \: = \dfrac{5400000 \times 2}{15}$

$\rm :\implies\:d \: = \: 720000 \: cm$

$\longmapsto \boxed{ \green{ \bf \: d \: = \: 7200 \: m}}$