Answer:
1) w = x+2
2) L = 12
3) w = 9
4) A = 108
Step-by-step explanation:
The rectangle has a length of x+5 and a perimeter of 4x+14.
Perimeter of a rectangle is given by all the lengths plus all the widths, ie 2*width and 2*length.
Perimeter = 2w + 2L
4x+14 = 2w + 2(x+5)
4x + 14 - 2x - 10 = 2w
w = 2x + 7 - x - 5
w = x+2 Width of the rectangle in terms of x.
If perimeter of rectangle is 42, what is the length?
Perimeter = 42 = 4x+14
28 = 4x
x = 7
L = x+5
L = 7+5
L = 12
If perimeter of rectangle is 42, what is the width?
Perimeter = 42 = 4x+14
28 = 4x
x = 7
w = x+2
w = 7+2
w = 9
Area equals length times width. What is the area of the rectangle.
A = L*w
A = 12*9
A = 108
