A 200m by 50m garden has been planned to be expanded with uniform width on all side. The new total area of the garden would be 11,336 square m.
a. How do you represents in mathematical sentence the new width of the garden.
•b. How do you represents the mathematical. Sent of new lenght of the garden.
•C. What is the area. garden of the original garden
d. What would be the uniform width of the expansion.
e. what would be the new length of the planned garden,
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Answer:
a. To represent the new width of the garden in a mathematical sentence, let's denote the uniform width as "x". The original width of the garden is 200m, and after the expansion, the new width would be increased by twice the value of "x" (since the expansion is on all sides). Therefore, the mathematical representation would be:
New width = Original width + 2x
b. Similarly, to represent the new length of the garden in a mathematical sentence, let's denote the uniform width as "x". The original length of the garden is 50m, and after the expansion, the new length would also be increased by twice the value of "x". Therefore, the mathematical representation would be:
New length = Original length + 2x
c. The area of the original garden can be calculated by multiplying the original width and length:
Area of original garden = Original width * Original length
d. To find the uniform width of the expansion, we can use the given information that the new total area of the garden is 11,336 square meters. Since the new width and length are increased by the same value, we can represent the new width and length as "200 + 2x" and "50 + 2x" respectively. Therefore, the mathematical representation to find the uniform width of the expansion would be:
(200 + 2x) * (50 + 2x) = 11,336
e. To find the new length of the planned garden, we can use the same equation as in part d:
New length = Original length + 2x
Answer:
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