gr10 math
posted by Rebecca .
The length of a rectangle is 2cm more than the width. The area is 24cm^2. What are the dimensions of the rectangle?
Let x be the width.
Let x +2 be the the length.
A = lw
24cm^2 = (x+2)x
24cm^2= x^2 + 2x
24cm^2 + x^2 = 2x
25cm^2 = 2x
25cm^2 /2 = 2x /2
12.5cm^2 = x
l = x + 2
l = 12.5 cm^2 + 2
l = 14.5 cm^2
Therefore the dimensions of the rectangle are 12.5cm^2 and 14.5cm^2.
did i do this question right?

x^2 + 2x = 24
x^2 +2x 24 = 0
Find two factors of 24 that will sum to give the value of the middle term, 2.
(x+6)(x4) = 0
x = 6 or 4
Since width cannot be a negative number, x = 4, then length = 4 + 2 = 6
Respond to this Question
Similar Questions

math
a rectangle is twice as long as it is wide. if both of its dimensions are increased by 4m, its area is increased by 88m^2 find the dimensions of the original rectangle Original rectangle = w for width and 2w for length. Area = w x … 
algebra , help
Can someone help me set up the equations thanks. Directions: Solve each of the following applications. Give all answers to the nearest thousandth. Problem: Geometry. The length of a rectangle is 1 cm longer than its width. If the diagonal … 
MATH
THE LENGTH OF A RECTANGLE IS 3M MORE THAN 2 TIMES ITS WIDTH. IF THE AREA IF THE RECTANGLE IS 99CM^2, FIND THE DIMENSIONS OF THE RECTANGLE TO THE NEAREST THOUSANDTH. If L = length and W = width, L = 2W + 3 and LW = 99 Substitute and … 
Quadratic Equation
The dimensions of a rectangle are such that its length is 3 in. more than its width. If the length were doubled and if the width were decreased by 1in., the area would be increased by 150 in.^2. What are the length and width of the … 
math
the dimensions of a rectangle are such that its length is 3 inches more than its width. if the length were double and if the width were decreased by 1 inch, the area would be increased by 66inches ^2. What are the length and width … 
math
the length of a rectangle is 3 yds more than twice it width and the area of the rectangle is 77yds find the dimensions of the rectangle the length and width 
algebra
the dimensions of a rectangle are such that its length is 5 in more than its width. If the length were doubled and the width were decreases by 2 in, the area would be increased 136 in^2,what are the length and width of the rectangle 
Algebra
The dimensions of a rectangle are such that it's length is 9 in. more than its width. If the length were doubled and if the width were decreased by 4 in., the area would be increased by 110 in^2. What are the length and width of the … 
algebra
The length of a rectangle is 3 more than twice the width. The area of the rectangle is 119 square inches. What are the dimensions of the rectangle? 
Maths
The area of a rectangle of width ycm is 140cm^2. If the width is reduced by 2cm, the length increases by 3cm, and the area decreases to 136cm^2 to form an equation that enables you to determine the value of Y and hence, find the diagonal …