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:

$A = 108ft^2$

$B = 27ft^2$

$C = 24.5ft^2$

$Area = 159.50ft^2$

Step-by-step 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:

$Area = A + B + C$

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

$Area = 159.50ft^2$