ABCD is a trapezoid.
AB = 4 cm
DC = 7 cm
BK = 6 cm
Can the trapezoidal area formula be applied? If so, apply it and calculate.
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ABCD is a trapezoid.
AB = 4 cm
DC = 7 cm
BK = 6 cm
Can the trapezoidal area formula be applied? If so, apply it and calculate.
The formula for the area of a trapezoid is:
Since we are given AB and DC but not the height, we cannot calculate the area of the trapezoid.
It cannot be applied.
Given the following trapezoid:
Calculate the area of the trapezoid ABCD.
BK is a slanted side of the trapezoid, not the height! The height must be the perpendicular distance between the two parallel sides AB and DC.
You need three things: the lengths of both parallel sides (we have AB = 4 cm and DC = 7 cm) plus the perpendicular height between them (which we don't have).
In a trapezoid, height is always the perpendicular distance between the parallel sides. It's never measured along a slanted side like BK.
Not with just these measurements! You'd need additional information like angles or coordinates to calculate the perpendicular height from the slanted side BK = 6 cm.
Always check if you have all required measurements first. If something is missing (like height here), state clearly that the formula cannot be applied rather than guessing.
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