5. The length of a red rectangle is 12 cm more than its width, w. A blue rectangle, which is 4 cm wider and 2 cm shorter than the red one, has
perimeter 72 cm. Make a sketch of the rectangles expressing all dimensions in
terms of w. Then find the dimensions of the red rectangle.

For the red triangle the width is 9 cm and the length is 24 cm. For the blue triangle, the width is 14 cm and the length is 22 cm.

Step-by-step explanation:

Red triangle: width is 9 cm, length is 24 cm, blue one width is 14 cm and the length is 22 cm. hope this helps. did this quickly! <3

Step 1. Perimeter P means adding up all 4 sides of a rectangle.

Step 2. Let w be the width of the red rectangle

Step 3. Let w+15 be the length of the red rectangle

Step 4. Let w+5 be the width of the blue rectangle

Step 5. Let w+15-2=w+13 be the length of the blue rectangle

Step 6. Then for the blue rectangle, P=w+5+w+5+w+13+w+13=4w+36=72

Step 7. Solving 4w+36=72  

Subtract 36 from both sides of the equation

4w=36

Divide by 4 to both sides of the equation

ANSWER: For the red triangle the width is 9 cm and the length is 24 cm. For the blue triangle, the width is 14 cm and the length is 22 cm.

the graph in the attached figure

step-by-step explanation:

we have

using a graphing tool

the graph in the attached figure

the roots are ( x-intercepts) x=-0.5,x=1,x=3

the y-intercept is the point (0,3)