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Lerok [7]
2 years ago
13

Find whole number values for h and the length of the missing shorter base.

Mathematics
1 answer:
xxMikexx [17]2 years ago
3 0

The area of a shape is the amount of space the shape can occupy.

<em>The values of the height and the shorter base are: 8cm and 2cm respectively</em>

<em />

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The given dimensions are:

\mathbf{Area = 40cm^2}

\mathbf{Base = 8cm}

The area of a trapezoid (see attachment) is:

\mathbf{Area = \frac 12(Base_1 + Base_2) \times Height}

So, we have:

\mathbf{40 = \frac 12(8 + Base_2) \times Height}

Multiply through by 2

\mathbf{80 = (8 + Base_2) \times Height}

The whole number values of base and height that satisfy the above equation is:

\mathbf{Base_2 = 2}

\mathbf{Height = 8}

i.e.

\mathbf{80 = (8 + Base_2) \times Height}

\mathbf{80 = (8 + 2) \times 8}

\mathbf{80 = 10 \times 8}

\mathbf{80 = 80}

Hence, the values of the height and the shorter base are: <em>8cm and 2cm respectively</em>

Read more about areas at:

brainly.com/question/16418397

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