The Dotson deck had a side length of 11 feet. The Engels family deck had a total area of 118 square feet. Which deck is larger? Explain your reasoning.

Dotson's deck is Larger.

Step-by-step explanation:

Given, Dotson deck had a side length of 11 feet and Engels family deck had a total area of 118 square feet.

So, side length of Dotson's deck (d) = 11 feet

and, area of Engels family deck = 118 square feet.

The question of whose deck is larger can be solved by computing the are of Dotson's deck and comparing both the decks.

Area of Dotson's deck = side × side = 11 × 11 = 121 square feet.

By comparison, we can see that 121 square feet is greater than 118 square feet.

Hence, Dotson's deck is larger.

step-by-step explanation:

there is a formula i can give you:

it is r^2*n*sin(360/n) divided by 2 where r represents the "radius" and n is the number of sides.

plug them in:

(10sqrt(3))^2*6*sin(360/6) divided by 2

100*3*6*sin(60) divided by 2

900*sin(60)

900*sqrt(3)/2

450*sqrt(3)

approx is 779.4 cm^2