Question

Lucas is planting grass on the shaded portions of the yard. What will be the total area covered by​ grass?

Answer 1

Complete Question:

Lucas is planting grass on the shaded portions of the yard. What will be the total area of covered by grass? Fill in the missing.

Part A= 12 x ? = ? ft²

Part B= 0.5 x ? x 9 = ?ft²

Part C= 0.5 x 7 x ? = ?ft²

Total Area= ?ft²

Answer:

`A = 108ft^2`

`B = 27ft^2`

`C = 24.5ft^2`

`Area = 159.50ft^2`

Explanation:

Given

See attachment

From the attachment;

Part A is a rectangle with dimension 9ft by 12ft

So,

`A = 12ft * 9ft`

`A = 108ft^2`

Part B is a triangle with dimension: height = 6 and base = 9

The height is calculated as:

`Height = 12ft - 6ft = 6ft`

And the base is:

`Base = 18ft - 9ft = 9ft`

So, the area is:

`B = 0.5 * 6ft * 9ft`

`B = 27ft^2`

Part C is a triangle with dimension: height = 7 and base = 7

So, the area is:

`C = 0.5 * 7 * 7ft^2`

`C = 24.5ft^2`

Total Area is:

`Area = A + B + C`

`Area = 108ft^2 + 27ft^2 + 24.5ft^2`

`Area = 159.50ft^2`