Please help me to to solve this quadratic equation word problem.

Here is the question:

The Abacus. The Chinese abacus consists of a frame, parallel wires, and beads that are moved to perform arithmetic computations. The frame is 21 Centimeters longer than it is high, which is 39 cm. Find its height and length.

height=39

length = height+21 = 39+21 = 60

Thank you Steve.

To solve this quadratic equation word problem, we need to set up a mathematical equation based on the given information and then solve it. In this case, let's set the height of the frame as "h" centimeters and the length as "l" centimeters.

According to the problem, the frame is 21 centimeters longer than it is high, so we can express the relationship between the length and the height as l = h + 21.

Additionally, we are given that the height of the frame is 39 centimeters, so we can also express this as h = 39.

Now, we have two equations:

l = h + 21
h = 39

To solve for the height and length, we need to substitute the value of h from the second equation into the first equation. Let's do that:

l = 39 + 21
l = 60

Now, we have the length of the frame as 60 centimeters. And since we already know that the height is 39 centimeters, we have our final answer:

Height = 39 cm
Length = 60 cm