Answer:
length = 9.625 m
width = 6.875 m
Explanation:
You will need the formula for the perimeter of a rectangle. P = 2(l + w)
"l" (lowercase L) means the length.
"w" means the width.
"P" means perimeter.
Take the information from the question and turn it into equations.
l = 1.4w 1.4 times long as it is wide
P = 33 perimeter is 33 meters
Use the equation for perimeter and replace the letters with the other equations.
P = 2(l + w)
33 = 2(1.4w + w) Collect like terms in brackets (1.4w + 1w = 2.4w)
33 = 2(2.4w) Multiply
33 = 4.8w Divide both sides by 4.8 to isolate 'w'
w = 6.875 Width of room
Use the equation for length. Substitute the width to find the length.
l = 1.4w
l = 1.4(6.875) Multiply
l = 9.625 Length of room
Therefore the length is 9.625 meters and the width is 6.875 meters.
