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Solve for the area of a parallelogram with a base that's 7 inches long and a height that's 6 inches long.
As long as we know the base and the height of a parallelogram, we should be able to calculate its area. Really, it's not rocket science.
A = bh A = 7 in × 6 in A = 42 in2
A parallelogram has an area of 88 mm2 and a height of 11 mm. What is its base length?
This requires the same A = bh formula that we've been using all along. This time, we have to solve for b, and luckily, we know A and h.
A = bh 88 mm2 = b × 11 mm 8 mm = b
Calculate the area of a rhombus with diagonals of length 8 km and 9 km.
We know that rhombi have their own special formula when diagonals are involved. Knowing both diagonals is all it takes.
A = ½d1d2 A = ½ × 8 km × 9 km A = 36 km2
Calculate the area of a rhombus with diagonals of 9 inches and 1 foot.
We can use the same diagonal formula as before, but we need to be careful about units. Our final units should be in either in2 or ft2. To do that, we have to convert the units of one of the diagonals. We like working with whole numbers, so let's make 1 foot = 12 inches.
Now, we can plug d1 = 9 in and d2 = 12 in into the formula.
A = ½d1d2 A = ½ × 9 in × 12 in A = 54 in2
If we had gone with feet, the area would have been 0.375 ft2.