Divide the figure into 4 parts: a triangle, rectangle, rectangle, and triangle.
Area of triangle: 1/2(base · height)
Area of rectangle: (length · width)
Solve for the 2 triangles:
Triangle #1: 1/2(6 · 8)
1/2(48) = 24 units²
Triangle #2: 1/2(3 · 8)
1/2(24) = 12 units²
Solve for the 2 rectangles:
Rectangle #1: (3 · 8) = 24 units²
Rectangle #2: (9 · 8) = 72 units²
Add up all the measurements.
24 + 12 + 24 + 72 = 132 units²
The area of the figure is 132 units².
Answer: Length = 24; width =4
Step-by-step explanation
Since the ratio of the length to width is 6:1
Let the length be represented as 6x
And the width be = x
Such that that the Perimeter of the rectangle which is
Perimeter = 2(length + width) becomes
56 = 2(6x + x)
56/2 = 6x+x
28 = 7x
x = 4
Width = 4
Length = 6x= 6 x 4 = 24
The points have been plotted on the coordinate graph.
Answer:
the slope is 3.800000
Step-by-step explanation: