Question

Farmer Lucas needs to build a new chicken coop. He has outlined on grid paper what both the base house and roof will look like, with the coop being in green and the roof being in red. If each tick mark represents 6 feet, what its the total area of material he needs to buy?

A) 108 ft2
B) 120 ft2
C) 540 ft2
D) 612 ft2

Answer 1

d

Explanation:

For the coop there are two squares each 36 square feet and four rectangles each 72 ft2. For the roof there are two triangles, each 18 ft2, and then three rectangles of 72 ft2. The total area of material he needs to buy is 612 ft2

Answer 2

D. 612 ft²

Explanation:

We are given that the outline of the chicken coop is represented by the graph.

Also, it is given that one unit in the graph is equal to 6 feet.

So, we will find the area of the figures provided in the graph and add them in order to get the area of the material needed.

Since, there are 2 squares of side 6 feet. Then, area of the squares = 2×6² = 2×36 = 72 ft²

Also, there are total 7 rectangles having length and width 6 feet and 12 feet respectively. The, area of the rectangles = 7×6×12 = 504 ft²

Plus, there are 2 triangles with height and base both 6 feet. The, the area of the triangles =
`2* (1)/(2)\rimes 6* 6` = 36 ft²

Thus, the area of the material needed to buy = 72 + 504 + 36 = 612 ft².

Hence, option D i.e. 612 ft² is correct.