Answer:
Area of the dilation = 10.8 square inches
Step-by-step explanation:
Given the original dimension
Length = 12inches
Width = 10inches
If they are dilated by a factor of 0.3
New length = 0.3 * 12 = 3.6in
New width = 0.3 * 10 = 3in
Area of the dilation = 3.6 * 3
Area of the dilation = 10.8 square inches
to solve for the dimensions (x+7)(x+2)=66,
we can first use the foiling method to simplify the left side.
x^2 + 2x + 7x + 14 = 66
x^2 + 9x + 14 = 66
now, subtract 66 from both sides.
x^2 + 9x - 52 = 0
now, split this into two parentheses.
(x + 13)(x - 4)
since the root of -13 would give you negative values, x=4. This means that the dimensions of the rectangle are 11 and 6.
To a decimal you can round it down to .5 but if its a fraction no.
