RULE
p = longer base
q = shorter base
h = height
area = 132 sq in
p = 17 in
q = 7 in
h = ?
From reading and looking, we know
132 sq in = (1/2)(17 in` + 7 in) * h
132 sq in = (1/2)(24 in) * h
132 sq in = (12 sq in) * h
h = 11 in
One of p and q will be valued at 17 inches, the other valued as 7 inches. This example has stated p being the longer base, and so we have
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p = 17 inches
q = 7 inches
h = uknown
area = 132 square inches
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From our rule book, we can find the equation for the area of this shape.
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We already know the area, and we know p and q as well, so let us plug in all of those values into our rule book equation.
132in² = (1/2)*(17in + 7in)*h
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Multiply each side by 2 in order to remove the (1/2) fraction.
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264in² = (17in + 7in)*h
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Addition of p and q
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264in² = 24in*h
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Divide by 24
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= 11in
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h = 11 inches
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In reality, p or q can be either the longer or shorter side.
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Just so long as you create a variable and designate.
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The letters p and q do not matter either. Take your pick, but it is best to follow a traditional standard if available.
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For example, if your book always denotes p the longest side, you should follow suit.
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As long as you understand the next door math class may use p for what you use q. Keep variables clearly defined so that your math can transfer!