The area of the garden is 150 ft squared
Explanation:
The formula for perimeter is Length+length+width+width = 50 ft (in this case the perimeter is 50 ft, as stated in the question). We also know that the width of the garden is 10, so length + length + 10 + 10 = 50. Next we can turn it into an algebraic equation to find the length : x + x + 10 + 10 = 50
Solve the equation:
1) combine like terms
2x + 20 = 50
2) We want to isolate x by moving all of the other numbers to the other side of the equation. Since 20 is the only other number on the left side, we subtract 20 from both sides
2x + 20 - 20 = 50 - 20
2x = 30
3) Now, to find x, we want to just have one x on the left side instead of two, so we divide the equation by two to find that
2x/2 = 30/2
x = 15
Now we know that the length is 15 ft, and the width is 10 ft. Since the formula for finding area is length x width, we do 15 x 10 to get 150. Therefore, the area is 150 ft squared.
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