A rectangle has a perimeter of 48 ft. The length and width are scaled by a factor 1.5. What is the perimeter of the resulting rectangle?

1 Answer
Jun 17, 2018

#color(blue)(72 " ft")#

Explanation:

If the dimensions of the rectangle are increased by a scale factor of #3/2# the perimeter will also be increased by a scale factor of #3/2#.

So we have:

#3/2xx48=72 " ft"#

This is because the perimeter is a linear measurement.

Consider a rectangle of length #bba# and width #bb(b)#.

Perimeter is:

#2a+2b# this is linear.

Increasing by a scale factor #f#

length of rectangle #fa# width #fb#

Perimeter:

#2fa+2fb=f(2a+2b)#