Question
a rectangle is five times as long as it is wide. if it were 24 cm shorter and 24 cm wider, it would be a square. What are its dimensions?
Answers
Reiny
width--- x
length --- 5x
"would be" situation:
width = x+24
length = 5x - 24
then 5x -24 = x+24
4x = 48
x = 12
the rectangle is 12 by 60
check:
had it been 24 shorter ---> length = 60-24 = 36
had it been 23 wider -----> width = 12 + 24 = 36
all is good!
length --- 5x
"would be" situation:
width = x+24
length = 5x - 24
then 5x -24 = x+24
4x = 48
x = 12
the rectangle is 12 by 60
check:
had it been 24 shorter ---> length = 60-24 = 36
had it been 23 wider -----> width = 12 + 24 = 36
all is good!