Question

In rectangle QRST, QS= 3x + 7 and RT= 5x - 3. Find the lengths or the diagonals of QRST

Answer 1

Answer:

The lengths of the diagonals is 22.

Step-by-step explanation: Since the shape is a rectangle, the diagonals are congruent, we can form the equation 3x+7=5x-3.

Solve for x; 2x=10-->x=5.

Plug 5 into one of the equations. 3(5)+7=22. 5(5)-3=22

Hope this helps!

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Answer 2

The length of the diagonals is 22.

What is a diagonal?

A diagonal in geometry is a line segment that connects two vertices of a polygon or polyhedron that are not on the same edge.

Since the shape is a rectangle, the diagonals are congruent, we can form the equation.

3x  +  7 =  5x  -  3.

Solve for x;

2x  =  10

x  =  5.

Plug 5 into one of the equations.

3 (5)  +  7 =  22.

5 (5)  - 3  =  22

Therefore the length of the diagonals is 22.

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