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27 Cm² (C)

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Explanation:

It's not directly stated, but I'm assuming that there's symmetry going on in terms of the triangle on the left being a mirror copy of the triangle on the right. If that assumption is true, then we have another "3 cm" along the bottom edge. In total, the bottom edge is 3+6+3 = 12 cm long.

The top edge, parallel to the bottom one, is 6 cm. We'll denote the two parallel sides to be the base lengths and we could write . The small subscript just helps us differentiate between the two base lengths.

The height is the vertical dashed line of 3 cm. This means h = 3. The height is always perpendicular to the base.

We'll plug those three variables into the area of a trapezoid formula below

The area is 27 square cm

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Another way to get the answer is to break the trapezoid into three pieces: two triangles and a rectangle in between.

One triangle has an area of base*height/2 = 3*3/2 = 9/2 = 4.5 square cm, which means two triangles combine to an area of 2*4.5 = 9 square cm.

The rectangle has area of length*width = 6*3 = 18 cm^2

The trapezoid's area is the combination of what we found: 9+18 = 27 cm^2

add all the numbers and check the ones place.

the answer is 486. as the ones place is more than 4, the estimation will be the next 10 ie, 490

question: how many people can she serve?

answer: she can serve 16.66666667 people. so she can only give 16 people a complete serving.

question: does she have enough ice cream for her guests?

answer: no. explanation: she only has enough for 16 people to have a full serving. however, she can give a 17th person a partial serving.