The perimeter of a rectangle whose length is 12m more than its breadth is 84 m. What will be the area of the rectangle? (in `m^2`)

Options

A. 446
B. 340
C. 405
D. 468

Answer

C

Explanation

Breadth of rectangle = x meter
Length = (x + 12) meter
`:.2(x+12+x)=84`
`rArr 4x+24=84`
`rArr 4x=60`
`rArr x=15`
`:."Length"=15+12=27 "metre"`
`:."Area of rectangle "= "Length "xx"Breadth"`
`=27xx15=405` sq. metre