Problem of the Week Problem C
Locate the Fourth Vertex
Quadrilateral BDFH is constructed so that each vertex is on a different side of
square ACEG. Vertex B is on side AC so that AB = 4 cm and BC = 6 cm.
Vertex F is on EG so that EF = 3 cm and FG = 7 cm. Vertex H is on GA so
that GH = 4 cm and HA= 6 cm. The area of quadrilateral BDFH is 47 cmº.
The fourth vertex of quadrilateral BDFH, labelled D, is located on side CE so
that the lengths of CD and DE are both positive integers.
Determine the lengths of CD and DE.

CD is 6 cm and DE is 4 cm.

Step-by-step explanation:

Well it‘s the correct answer and I got it right so good luck out there bois!

the answer is:

the correct option:

b.

to solve the problem, we need to remember how to operate to simplify exponential expressions using the logarithms.

we are given the equation:

then, using placing logarith with base 7 on both sides of the equation, we have:

so, rounding the obtained result to two decimal places (nearest hundreth), we have:

hence, we have that the correct option:

b.

have a nice day!