The approximate area of the triangular base of James’ tank is 3025 in²
To find the approximate area of the triangular base of James' tank, we need to know what scale is.
<h3>What is scale?</h3>
A scale is the ratio of two dimension. It is given by scale = New dimension/old dimension
Given that the dimensions of James’ tank are each exactly 2 3/4 times the dimensions of Julian’s tank.
The scale of the area of James' tank to the area of triangular base of Julian's tank is S = (2³/₄)²
= (11/4)²
= 121/16
Let
- A = area of triangular base of James' tank,
- A' = area of triangular base of Julian's tank = 400 in²
So, scale, S = A/A'
<h3>
The approximate area of the triangular base of James’ tank</h3>
So, making A subject of the formula, we have
A = SA'
A = 121/16 × 400 in²
A = 121 × 25 in²
A = 3025 in²
So, the approximate area of the triangular base of James’ tank is 3025 in²
Learn more about area of triangle here:
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0.0165
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10
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