The sides of a square are all increased by 2 in. The area of the new square is 49 in.^2 . What is the length of a side of the or

Question

3 years ago

15

iginal square?
2 in.
4.5 in.
5 in.
9 in.

2 answers:

dem82 [27] · Answer 1 · 2022-07-08T06:07:12+03:00

dem82 [27]3 years ago

6 0

Answer:

5

Step-by-step explanation:

square root is 49 is 7

so

1 side is 7

so

original side is 7 - 2

which is

5

Licemer1 [7] · Answer 2 · 2022-07-08T07:17:44+03:00

Answer:

The original side length was 5 in.

Step-by-step explanation:

Area of new square is (side length)^2. Here,

that area is (x + 2)^2 = 49 in^2, and we must find x.

Taking the square root of both sides, we get:

x + 2 = +√49 = +7

Subtracting 2 from both sides yields x = -2 + 7 or x = 5

Check: does (5 + 2)^2 = 49? YES