Question

the length of a rectangle is three times its breath. if the perimeter is 184. find the area of a rectangle

Answer 1

$\bold{Let \: \: breadth \: \: be \: \: x \: \: units } \\ \bold{ Length \: \: be \: \: 3x \: \: units}$


Perimeter = 184

2( x + 3x ) = 184

=> 4x = 92

=> x = 23




Hence, Breadth = 23 units
Length = 3( 23 ) = 69 units




Area = Length × breadth

Area = 23 × 69

Area = 1587 unit^2

Answer 2

Let breadth be x
Length will be 3x
P = 2(l+ b)
184 = 2× 4x
184 = 8x
x = 23
A = l×b
A = (23 × 3) ×(23)
A = 1587