Question

The given figure is made up of a square and a rectangle. The breadth of the rectangle is ${\left(\frac{1}{3}\right)}^{rd}$ the length of the edge of the square. If the area of the whole figure is $384c{m}^2$, find the length of the rectangle.

• A. $12cm$
• B. $8cm$
• C. $10cm$
• D. $9cm$

Answer 1

The correct option is C $10cm$

Side of the square $=18cm$
$\therefore$ Breadth of the rectangle $=\frac{1}{3}\times 18cm$
$=6cm$
Area of square $=(18\times 18)c{m}^2=324c{m}^2$
Area of whole figure $384c{m}^2$
$\therefore$ Area of rectangle $=(384-324)c{m}^2$
$=60c{m}^2$
$\therefore$ Length of rectangle $\times 6cm=60c{m}^2$
$\therefore$ Length of rectangle $=(60÷6)cm=10cm$.