SOLUTION: Jack is mowing a lawn that has a shed. Find the area of the lawn that Jack will mow. 1. Find the area of the yard. 2. Find the area of the shed. 3. Find the area of th

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Jack is mowing a lawn that has a shed. Find the area of the lawn that Jack will mow. 1. Find the area of the yard. 2. Find the area of the shed. 3. Find the area of th      Log On


   

Question 1183421: Jack is mowing a lawn that has a shed. Find the area of the lawn that Jack will mow.
1. Find the area of the yard.
2. Find the area of the shed.
3. Find the area of the lawn by subtracting the shed area from the yard area.
The yard is (11x-4) length and 6x width
The shed is (3x+5) by 4x
Found 2 solutions by mananth, MathLover1:
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
.
the area of the yard.
(11x-4)(6x)
66x^2 -24x
the area of the shed.
(3x+5)(4x)
12x^2 +20x
the area of the lawn
66x^2 -24x -(12x^2 +20x)
66x^2 -24x -12x^2-20x
54x^2 -44x





Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

given:
the yard dimensions
+L=%2811x-4%29+
W=6x+width

The shed is
l=+%283x%2B5%29+
w=4x
1. Find the area of the yard.
A%5By%5D=L%2AW
A%5By%5D=%2811x-4%29+%2A6x
A%5By%5D=66+x%5E2+-+24+x

2. Find the area of the shed.
A%5Bs%5D=lw
A%5Bs%5D=%283x%2B5%29%2A+4x
A%5Bs%5D=12x%5E2+%2B+20x

3. Find the area of the lawn
A%5Blawn%5D=A%5By%5D-A%5Bs%5D
A%5Blawn%5D=66x%5E2+-+24x-%2812x%5E2+%2B+20x%29
A%5Blawn%5D=66x%5E2+-+24x-12x%5E2+-+20x
A%5Blawn%5D=54x%5E2+-+44x