Question

Urgent pls. The diagram shows a parallelogram. Work out the area of the parallelogram. Give your answer to 2 significant figures.

Answer 1

54.88 square cm

Explanation:

If d1 and d2 are the diagonal of parallelogram and
`\alpha` is the angle between then

then its area is given by

area = d1*d2 sin
`\alpha`

given

in the problem

for one diagonal one part is 7cm

we know that diagonal intersects each other to divide each part of same diagonal equally.

hence if one part is of length 7 then other part is also of 7cm length

hence full length of this diagonal is 7+7 = 14cm

similarly full length of other diagonal is 4+4 = 8cm

now area of this parallelogram

area = d1*d2 sin
`\alpha` = 14*4 sin100

we know sin100 = 0.98

area = 56*0.98

area = 54.88

Thus, area of given parallelogram is 54.88 square cm.