Respuesta :
Answer:
361 sq, inches.
Step-by-step explanation:
Let us assume that the dimensions of the square picture are P in × P in.
So, the area of the picture alone is, A = P²
Now, if the photo has a frame of 1 inch wide, then the dimensions of the photo with frame are (P + 2) in × (P + 2) in.
So, the area of the photo with frame is A' = (P + 2)(P + 2) = (P + 2)²
Now, the area of the frame alone is 80 sq. inches.
Hence, A' - A = 80
⇒ (P + 2)² - P² = 80
⇒ 4P + 4 = 80
⇒ 4P = 76
⇒ P = 19 inches.
So, the area of the picture is = 19² = 361 sq. inches. (Answer)
