Question

area of a square is 4 square metre more than 2 by 3 of area of a rectangle if the area of square is 64 square metre then find the dimension of rectangle given the breadth is 2 by 3 of length

Answer 1

Let area of rectangle = x $cm^2$
Therefore area of square = $\frac{2x}{3} +4$

According to Question
Area of square = 64 $cm^2$
$\frac{2x}{3} +4$ = 64
2x + 12 = 192
2x = 180
x = 90 $cm^2$

Area of rectangle = x $cm^2$ = 90 $cm^2$

Area of rectangle = lb
90 = $l. \frac{2l}{3}$
90 = $\frac{2l^2}{3}$
270 = $2l^2$
135 = $l^2$
l = $\sqrt{135}$
l = 12.04 cm
b = $\frac{2l}{3}$ = $\frac{2*(12.04)}{3}$ = 8.02 cm