Question

the area of Brian's rectangular garden, in square feet ,can be found by using the expression 6(2X +5Y).Use the distributive property to write an equivalent expression for the area for Brian's garden. Use your equivalent expression to find the area of Brian's garden, in square feet X=3 and Y=4

Answer 1

Answer:
Part (a):
Area = 12x + 30y square feet
Part (b):
Area = 156 square feet

Step-by-step explanation:
Part (a):
The given expression to find the area is 6(2x+5y)
We want to use the distributive property to find the polynomial. This means that we will get rid rid of the brackets by multiplying each term in the brackets by 6.
This will lead to the following:
Area = 6(2x + 5y)
Area = 6*2x + 6*5y
Area = 12x + 30y square feet

Part (b):
We have the expression for the area as 12x+30y.
We want to find the area at x = 3 and y = 4.
All what we will do is substitute with the values of x and y in the expression and get the area as follows:
Area = 12x + 30y
Area = 12(3) + 30(4)
Area = 156 square feet

Hope this helps :)