5x^2 + 42x + 16 what would the area be if x = 5

Mathematics

1 answer:

Anna11 [10]3 years ago

3 0

Answer:

The area would be 301 if x=5.

Step-by-step explanation:

Given expression is:

5x²+42x+16

We have to find the area when x=5

So putting x=5 in the given expression.

Area = 5(5)²+42(5)+16

Taking square of 5 and multiplying 42 by 5

Area = 5(25)+210+16

Area = 75+210+16

Adding all the terms

Area = 301

Hence,

The area would be 301 if x=5.

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The complete question is
Bradley made a house for his dog, Bowser, out of wood with a cube base and a triangular prism top. The dimensions of the dog house are a = 2 feet, b = 1 foot, and c = 1.4 feet.
If Bradley plans to paint the outside of the dog house blue, not including the bottom, how many square feet of paint will he use?

the picture in the attached figure

we know that

surface area of the figure=surface area of cube+surface area of triangular prism

surface area of cube=4*a²----> 4*2²-----> 16 ft²

surface area of triangular prism=2*[a*c]+2*[a*b/2]---> 2*[2*1.4]+[2*1]
surface area of triangular prism=5.6+2----> 7.6 ft²

surface area of the figure=16 ft²+7.6 ft²----> 23.6 ft²

the answer is
23.6 ft²