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horrorfan [7]
2 years ago
5

5. Geometry A rectangular vegetable garden has a length of 8 ft and a width of 5 ft. The width is increased by 2 ft. By how many

square feet does the area increase?​
Mathematics
1 answer:
Firlakuza [10]2 years ago
4 0
A rectangular garden has a length of 5ft and a width of 8 ft. The length is increased by 2 feet. By how many square feet does the area increase?

Step 1. Area of a rectangle is given as A=length * width

Step 2. Then, A1=5*8=40 square feet of original area of rectangular garden.

Step 3. Then, A2=(5+2)*8=56 square feet since the length is increased by 2. feet.

Step 4. Difference = A2 - A1 = 56 - 40 = 16 square feet.

Step 5. ANSWER: The area increased by 16 square feet.
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The solution depends on the value of k. To make things simple, assume k>0. The homogeneous part of the equation is

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16ae^{4x}+be^x-16k(ae^{4x}+be^x)=9.6e^{4x}+30e^x
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y=C_1e^{-4\sqrt kx}+C_2e^{4\sqrt kx}+\dfrac3{5(1-k)}e^{4x}+\dfrac{30}{1-16k}e^x
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