you are painting the outside of a jewery box, including the bottom. To find the surface area(S.A) of the jewlery box, you can use the formul

Question

you are painting the outside of a jewery box, including the bottom. To find the surface area(S.A) of the jewlery box, you can use the formula S.A+2wl+2lh+2wh, where l os the length, w is the width, and h is the height. What is the surface earea of the jewlery box in terms of x?

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Parker 2 months 2021-09-26T21:41:37+00:00 1 Answer 0 views 0

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    2021-09-26T21:42:59+00:00

    Answer:

    SA=10x^2+38x+30

    Step-by-step explanation:

    Please consider the complete question.

    You are painting the outside of a jewelry box including the bottom. To find the surface area (S.A) of the jewelry box, you can use the formula SA=2wl+2lh+2wh, where L is length, W is width, and H is height. What is the surface area of the jewelry box in terms of x.”

    L = 2x+5

    W= x

    H= x+3

    To find the surface area of box in terms of x, we will substitute the given values of length, width, and height in terms of x as:

    SA=2x(2x+5)+2(2x+5)(x+3)+2x(x+3)

    Now, we will use distributive property a(b+c)=ac+ac  to simplify our expression as:

    SA=4x^2+10x+(4x+10)(x+3)+2x^2+6x

    SA=4x^2+10x+4x(x+3)+10(x+3)+2x^2+6x

    SA=4x^2+10x+4x^2+12x+10x+30+2x^2+6x

    Let us combine like terms.

    SA=4x^2+4x^2+2x^2+10x+12x+10x+6x+30

    SA=10x^2+38x+30

    Therefore, the surface area of the jewelry box in terms of x would be 10x^2+38x+30.

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