Question

Example 5. The side of an equilateral triangle is increasing at the rate of 2 cm/sec. At what rate its area
increasing when the side of the triangle is 20 cm?
ho ito arm at any time seconds
A


plz give this answer fast but don't spam otherwise I will report ur answer ✔✔✔✔​

Answer 1

Refer the attachment friend....

Answer 2

Step-by-step explanation:

Area of equilateral triangle=

4

3

a

2

where a=side of triangle

⟹A=

4

3

a

2

differentiating with respect to time

⟹

dt

dA

=

4

3

(2a)

dt

da

∵

dt

da

=2cm/secanda=20cm

⟹

dt

dA

=

4

3

(2×30)(2)

=

4

3

×40×2

=2

3

×10

=20

3

cm

2

/sec