SOLUTION: If point Q lies on side AB of square ABCD such that QC=(sqrt of 10) units and QD=(sqrt of 13) units, what is the area of square ABCD?

Question 1103129: If point Q lies on side AB of square ABCD such that QC=(sqrt of 10) units and QD=(sqrt of 13) units, what is the area of square ABCD?
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!

.
.
.
.
1.
2.
From eq. 2,

Substituting into eq. 1,

Substitute

Two solutions in u,

We're only interested in positive x and y values,

and

You can use the first y to solve for x since you're really only looking for x.
This y will also give you an answer but not the correct answer since the value of will be negative which is not allowed.

So the area of the square is,

RELATED QUESTIONS
I have a geometry study guide that I honestly do not understand at all. I need answers... (answered by Fombitz)

abcd is a parallelogram. if ad is 10 units and ab is 8 units what is the measure of bc (answered by jim_thompson5910)

In parallelogram ABCD, AB = 13, AD = 14, and the length of diagonal AC is 15. What is the (answered by ikleyn)

if a side of a square is increased by 6 units, its area is 100 sq units. What is the... (answered by TimothyLamb)

Please, check me these problems. 2: A walk 2 meters wide surrounds a rectangular grass... (answered by sudhanshu_kmr)

Hi tutors, can u help me answer this question? thanks There is a point X inside a... (answered by solver91311)

ABCD is an isosceles trapezoid with AB=CD. P is the midpoint of line segment AB, Q is the (answered by KMST)

The area of a triangle,the length of whose altitudes are 5, 12 and 13 units, is- a)30 sq (answered by richard1234)

What is the area of a parallelogram ABCD if AB=4 units,AD=5root 3 and measure ofangle... (answered by ikleyn,amalm06,TeachMath)