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3 years ago

For quadrilaterals having the same perimeter,the area is the largest when the quadrilateral is a ____________.

Mathematics

2 answers:

m_a_m_a [10]3 years ago

8 0

square

Among all quadrilaterals with the same perimeter, square has the largest area.

alina1380 [7]3 years ago

5 0

It can be shown using calculus that the maximum area is obtained when the quadrilateral is a square.

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Find (a) the value of q in radians (b) the area of the shaded region in cm²

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Answer:

(a) 1.18

(b) 99.71

Step-by-step explanation:

to know the value of q in degrees we can use cosine of q

$\cos (q) = \frac{OR}{OQ}\\\\\cos (q) = \frac{5}{13}\\\\q = \cos^{-1}(\frac{5}{13})\\\\q \approx 67.38$

now to radians

the formula is

$x\times\frac{2\pi}{360}\\\\$

with x the degrees

$67.38\times \frac{2\pi}{360}\\\\=\frac{67.38\pi}{180}\\\\\approx 0.374\pi\\\\\approx 1.18$

so the measure of angle q is 1.18 radians

so now for part b

$A = \frac{r^2 \alpha }{2}\\\\$

with $\alpha$ being the central angle in radians

for degrees is the following

$A = \frac{\theta}{360}\times \pi r^2$

so we have

$A = \frac{13^2 (1.18)}{2}\\\\A = 99.71$ cm^2

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Answer:

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Step-by-step explanation:

50-34=16

16/50=0.32

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Step-by-step explanation:

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