Question

A small rectangular piece of length 7/16 ft and width 4/15 ft is cut out from a cardboard sheet of 2/15 sq ft.

The remaining area of the sheet is .

• A. 7/60 sq ft
• B. 2/15 sq ft
• C. 1/60 sq ft
• D. 1/5 sq ft

Answer 1

The correct option is C 1/60 sq ft

Initial area of the carboard sheet
= $\frac{2}{15}$ sq ft

Area of the smaller rectangular piece
= Length × Width
= $\frac{7}{16}$ × $\frac{4}{15}$

Remaining area of the cardboard sheet
= Initial area of the cardboard sheet - Area of the smaller rectangular piece
= $\frac{2}{15}$ - [ $\frac{7}{16}$ $\times$ $\frac{4}{15}$ ]
=$\frac{2}{15}$ - $\frac{7}{60}$
= $\frac{8-7}{60}$
= $\frac{1}{60}$ sq ft

Therefore, the remaining area of the cardboard sheet is $\frac{1}{60}$ sq ft.