A rectangular sheet of length 5 cm and breadth 3 cm is cut from each corner of a square piece of an aluminium sheet of side 10 cm. Find the area of the aluminium sheet leftover.

Options

A. `60cm^(2)`
B. `40cm^(2)`
C. `85cm^(2)`
D. `75cm^(2)`

Answer

B

Explanation

The area of each rectangular sheet cut out `=3xx5=15cm^(2)` and the area of the square piece of aluminium sheet = `10^(2)=100cm^(2)`
The total area of the rectangular sheets cut out = `4xx15=60cm^(2)`
The area of the aluminium sheet leftover = Area of square sheet - Total area of the rectangular sheets cut out
`therefore` The area of the aluminium sheet leftover = `100-60=40cm^(2)`