Plans were made for a rectangular garden to be planted outside of a library. The plans use a scale of 1.6 cm = 2 m. If the garde
n is 14 cm by 10 cm on the scale, find the actual dimensions. If maybe somebody could not just give me the answer, but give me the equation so I can work the rest of these questions out myself, that'd be great!
1 answer:
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The expressions for the width, W, and area, A, of the rectangle in terms of L are:
- W =
- L
- A =
The expression for the perimeter of a rectangle is given as:
P = 2(L + W)
where L is its length and W its width
a. Given that the perimeter of the rectangle is 13 feet, then;
13 = 2(L + W)
divide through by 2
= L + W
So that;
W = - L
The required formula for the width as a function of L is: W = - L
b. Area of a rectangle can be expressed as;
A = L * W
substitute the expression for width in that of area to have
A = L * ( - L)
= L -
A =
The expression for the area A is: A =