The area of a parallelogram i 12 quare unit. One ide of the parallelogram i 18 unit long. The other ide i 6 unit long. Determine

Question

1 year ago

14

whether each dimenion could be the height of the parallelogram. Pick all correct. A. 2/3 unit
B. 3/2 unit
C. 2 unit
D. 3 unit

1 answer:

mars1129 [50] · Answer 1 · 2024-03-13T22:03:25+03:00

The possible heights of the parallelogram are 2/3 and 3

So, the correct option is A and C

The given expression:

area of a parallelogram, A = 12 square unit

a side of the parallelogram, = 18 units

another side of the parallelogram = 6 units

let,

the height of the parallelogram, h

The area of a parallelogram is given as;

Area = base (b) x height (h)

height (h) = Area/base(b)

From the given sides, the possible heights of the parallelogram are calculated as follows;

if the base, b = 18 units

height(h) = 12/18

= 2/3

Also, if the base, b = 6 units

height(h) = 12/6

= 2

Therefore, the possible heights of the parallelogram are 2/3 and 2

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