Question

100 points!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!1

Answer 1

y=5.8

x=10

Explanation:

30\3=10

10-4.2=5.8

Answer 2

x = 10 cm

y = 5.8 cm

Explanation:

Area of a rectangle

`\large\boxed{A=l\:w}`

where l is the length and w is the width.

From inspection of the given rectangle:

• Width = 3 cm
• Length = x = y + 4.2 cm
• Area = 30 cm²

Substitute the given values of area, width and length into the formula and solve for x:

`\begin{aligned}A&=l\:w\\\implies 30&=x \cdot 3\\3x&=30\\x&=10\end{aligned}`

Substitute the found value of x into the expression for length and solve for y:

`\begin{aligned}y+4.2&=x\\y+4.2&=10\\y&=10-4.2\\\implies y&=5.8\end{aligned}`