(Algebra) Can anybody help me with this please and thank you
1 answer:
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Answer:
Step-by-step explanation:
The quadrilateral ABCD consists of two triangles. By adding the area of the two triangles, we get the area of the entire quadrilateral.
Vertices A, B, and C form a right triangle with legs ,
, and
. The two legs, 3 and 4, represent the triangle's height and base, respectively.
The area of a triangle with base and height
is given by
. Therefore, the area of this right triangle is:
The other triangle is a bit trickier. Triangle is an isosceles triangles with sides 5, 5, and 4. To find its area, we can use Heron's Formula, given by:
, where
,
, and
are three sides of the triangle and
is the semi-perimeter (
).
The semi-perimeter, , is:
Therefore, the area of the isosceles triangle is:
Thus, the area of the quadrilateral is:
The sale price S (in dollars) of an item is given by the formula
S=L−rL , where L is the list price (in dollars) and r is the discount rate.
Since, S = L -rL
rL = L -S
r =
r =
Since, the listed price of the shirt is $30, we have to find the discount rate.
Therefore, r = is the discount rate.