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 of Brian's garden. Equivalent expression Use your equivalent expression to find the area of Brian's garden, in square feet, if x = 3 and y = 4. Show your work.

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Mathematics

10 January, 04:03

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 of Brian's garden. Equivalent expression Use your equivalent expression to find the area of Brian's garden, in square feet, if x = 3 and y = 4. Show your work.

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Cullen Doyle · Answer 1

The equivalent expression is 12x+30y and the area is 156 ft².

Using the distributive property, we have

6 (2x+5y)

6*2x+6*5y

12x+30y

If x=3 and y=4,

12*3+30*4

36+120

156