Answer:
Step-by-step explanation:
Given a parallelogram ABCD is shown with DC equal to 9 feet and the perpendicular distance between AB and DC equal to 8 over 9 foot.
Part A: we have to find the area of ABCD.
Part B:
We have to decompose this parallelogram into two triangles.
Join diagonal AC
As the diagonal of parallelogram divides it into two congruent triangles of equal area
Hence, the area of each triangle is
Answer:
Width of rectangle = 6 m
Length of rectangle = 11 m
Step-by-step explanation:
Let width of rectangle = w
Length of rectangle = 3w-7
Area of rectangle = 66 m²
We need to find length and width of rectangle
The formula used is:
Putting values and finding w
Solve using quadratic formula:
We have a=3, b=-7, c=-66
Putting values and finding w
We get values of w as w=6 and w=-3.6
As we know width cannot be negative, so considering w = 6
So, Width = 6
Length = 3w-7 = 3(6)-7 = 18-7 = 11
So, Width of rectangle = 6 m
Length of rectangle = 11 m