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MODELING WITH MATHEMATICS A contractor extends a house on two sides.
A. The area of the house after the the renovation is represented by (x+50)^2
B. Use the polynomial in part (a) to find the area when x=15. What is the area of the extension?

MODELING WITH MATHEMATICS A contractor extends a house on two sides A The area of the house after the the renovation is represented by x502 B Use the polynomial class=

Respuesta :

Answer:House=4,225ft^2

Step-by-step explanation:

(15)^2+100(15)+2,500

=225+1,500+2,500

=4,225

(a) The area of the house is [tex]x^2+100x+2500 \; \; ft^2[/tex]

(b) Area of the extension

House =4225 ft^2

Important information :

The area of the house is represented  by quadratic expression

[tex](x+50)^2[/tex]

To find out the product to multiply x+50 twice

[tex](x+50)(x+50)[/tex]

Apply FOIL method to multiply the parenthesis

[tex](x+50)(x+50)\\x^2+100x+2500[/tex]

The area of the house is [tex]x^2+100x+2500 \; \; ft^2[/tex]

(b) given x=15. To find area of extension , we replace x with 15 in the answer we got from part (a)

[tex]x^2+100x+2500 \\x=15\\(15)^2+100(15)+2500 \\225+1500+2500\\4,225[/tex]

Area of the extension

House =4225 ft^2

Learn more about the quadratic  here:

brainly.com/question/4053601

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