Answer:
length x = 12 m
Step-by-step explanation:
Area of a rectangle = l × b
where l = length of the rectangle and b = breadth of the rectangle.
From the question,
Area is given to be 44 m²
Length is given to be x, which we are ask to find.
Breadth is given to be 3[tex]\frac{2}{3}[/tex] m
We can now proceed to insert our values into the formula;
Area of a rectangle = l × b
44 = x × 3[tex]\frac{2}{3}[/tex]
But 3[tex]\frac{2}{3}[/tex] = [tex]\frac{11}{3}[/tex]
44 = x × [tex]\frac{11}{3}[/tex]
44 = [tex]\frac{11x}{3}[/tex]
Multiply both-side of the equation by 3
44×3 = [tex]\frac{11x}{3}[/tex] ×3
132 = 11x
Divide both-side of the equation by 11
[tex]\frac{132}{11}[/tex] = [tex]\frac{11x}{11}[/tex]
12 = x
x = 12 m
Therefore, length x = 12 m
