The base of a parallelogram is 6 ft more than the height. If the area of the parallelogram is 55 ft^2, what are the measures of the base and the height?

Height = 5 ft

Base = 11 ft

Step-by-step explanation:

The area of a parallelogram is

Base × Height

From the question:

The base of a parallelogram is 6 ft more than the height.

Base = 6ft + h

If the area of the parallelogram is 55 ft^2,

what are the measures of the base and the height?

This is calculated as:

55 ft² =( 6 + h ) × h

55 = 6h + h²

h² + 6h - 55 = 0

h² +5h - 11h - 55 = 0

h(h + 5) - 11(h + 5) = 0

(h + 5)(h - 11) = 0

h - 11 = 0

height = 5ft

Base = 6 + h = 6 + 5

Base = 11ft

The distance Shawn went is 40.

Step-by-step explanation:

Given:

N= 5 and M =6

Mountain hike = N = 5

Back down the other side = 2N+1 = 2×5 + 1 = 10 + 1 =11

From Mountain back to truck = 4M = 4×6 = 24

We need to find the total distance he went and can be calculate by adding Mountain hike with back down the other side and then from Mountain back to truck.

Total distance Shawn went = Mountain hike+ Back down the other side + From Mountain back to truck = 5 + 11 + 24 = 40

Hence Shawn went the distance of 40.