A rectangle has an are of 400.8 square centimeters and a base of 24 centimeters. What is the height?

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Answer 1 · 2018-05-18T03:46:19

The height is #16.7# #"cm"#.

First, let's look at the area of a rectangle.

We know that #"Area"# #= bh#, where #b# is the base and #h# is the height.

Since we know the #"Area"# and the #"base"#, we can plug them into the formula to find the #"height"#:
#400.8 = 24h#

To find #h#, divide both sides by #color(blue)24#:
#400.8/color(blue)24 = (24h)/color(blue)24#

Therefore,
#h = 16.7#

The height is #16.7# #"cm"#.

Hope this helps!