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qwelly [4]
2 years ago
15

Length of rectangle is 4 m less than 3 times its breadth. If the perimeter of rectangle is 32 m. Find its length and breadth B=1

2​
Mathematics
1 answer:
timama [110]2 years ago
6 0

Answer:

Length = 11m and the Breath = 4m

Step-by-step explanation:

L = 3B - 4

p = 32m

2( L + B ) = 32

L + B = 32/2

L + B = 16

(3B - 4) + B = 16

3B - 4 + B = 16

4B - 4 = 16

4B = 16 + 4

4B = 20

B = 20/4 = 5m

B = 5m

L = 3B - 4

L = 3(5) - 4

L = 15 - 4

L = 11m

please brainliest

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algol [13]

Find the critical points of f(x,y):

\dfrac{\partial f}{\partial x}=-2x=0\implies x=0

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Now check for extrema on the boundary of D. Convert to polar coordinates:

f(x,y)=f(\cos t,\sin t)=g(t)=4-\cos^2-\sin^4t+\dfrac12\sin^2t=3+\dfrac32\sin^2t-\sin^4t

Find the critical points of g(t):

\dfrac{\mathrm dg}{\mathrm dt}=3\sin t\cos t-4\sin^3t\cos t=\sin t\cos t(3-4\sin^2t)=0

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So altogether, f(x,y) has an absolute maximum of 65/16 at the points (0, -1/2) and (0, 1/2), and an absolute minimum of 3 at (-1, 0).

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