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3 years ago

Find the area shaded in yellow please!

Mathematics

2 answers:

worty [1.4K]3 years ago

7 0

A= 1/2(7 + 11)(5)
A = 1/2(18)(5)
A = 45 square units

viva [34]3 years ago

3 0

Answer:

45 unit²

Step-by-step explanation:

the yellow shaded area is trapezoid.

And we know area of any trapezoid is represented by A = $\frac{1}{2}$ (sum of bases ) × ( length between bases)

Bases of the trapezoid measure 7 units and 11 units

Length between bases = 5 units.

Area = $\frac{1}{2}(7+11) (5)$

= $\frac{1}{2}(18)(5)$

= 9 × 5

= 45 unit²

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The equation is of the form $y=mx+b$ where m=-14

<u>Slope:</u>

The slope of the perpendicular line can be determined using the formula,

$m_1 \cdot m_2=-1$

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$m_2=\frac{1}{14}$

Thus, the slope of the line is $m=\frac{1}{14}$

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The equation of the line can be determined using the formula,

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Substituting the slope $m=\frac{1}{14}$ and the point (2,-4), we get,

$y+4=\frac{1}{14}(x-2)$

Simplifying, we get,

$y+4=\frac{1}{14}x-\frac{1}{7}$

$y=\frac{1}{14}x-\frac{1}{7}-4$

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Thus, the equation of the line is $y=\frac{1}{4}x-\frac{29}{7}$

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