A rectangle has the length of (2x + 5) and the width of (3x - 2). The perimeter of the rectangle is 36cm. Find the length and width of this rectangle.
Perimeter = (2x+5) + (2x+5) + (3x-2) + (3x-2) = 36= 10x + 6 = 3610x = 36 - 6 10x = 30x = 30/10x=3cmLength = (2x + 5)=2 X 3 + 5=6+5Length =11cmWidth = (3x - 2)= 3 X 3 - 2=9 - 2Width = 7cmDouble check: (2x+5) + (2x+5) + (3x-2) + (3x-2) = 36= (2 X 3 + 5) + (2 X 3 + 5) + (3 X 3 - 2) + (3 X 3 - 2) = 36= 11 + 11 + 7 + 7 =36cm
JM
Related Maths GCSE answers
All answers ▸Solve y = x^2 + 3x + 2 = 0
A bag contains beads, 60% of which are green. A student claims that the probability of getting two green beads if the beads aren't replaced is 1/3 as 6/10 * 5/9 is 1/3. Is the student right?
Find the turning point of the graph y = x2^ + 3x − 10
How do I solve simultaneous equations when one is quadratic? For example 3x^2 -2y = 19, 6x-y-14=0