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
