Step-by-step explanation:
The equation that Kaitlyn solved is as follows :
-5.4+x=12.2
The steps to solve it as follows :
Step 1. Add 5.4 to both sides,
-5.4+x+5.4=12.2+5.4
Step 2. 5.4 will cancel out as both have opposite signs
x=17.6
But Kaitlyn solved it as :
5.4.x=6.8
She has multiplied -5.4 and x which is wrong. The correct answer is 17.6.
The length of each side of the larger square is 8 cm.
<u>Step-by-step explanation</u>:
Step 1 ;
- The combined area of two squares = 80 sq.cm
- The side of small square = x
- The side of larger square = 2x
Step 2 :
Area of the square = a^2
Area of small square + area of large square = 80
x^2 + (2x)^2 = 80
x^2 + 4x^2 = 80
5x^2 = 80
x^2 = 80/5
x^2 = 16
x = ±4
Step 3 :
Since length cannot be negative, the value of x= 4
∴ The length of the side of small square = 4cm
The length of the side of larger square = 2x = 8cm