Refer to the attachment for figure:
The height of the rectangle = 11 inches
What is rectangle?
A rectangle is a type of quadrilateral with parallel sides equal to each other and four equal 90-degree vertices. Because of this, it is also known as an equiangular quadrilateral. Because the opposite sides of a rectangle are equal and parallel, it can also be referred to as a parallelogram.
Let x= height
Width becomes x+49
Diagonal BD=61 inches
By pythagoras theorem,
BD²=BC²+CD²
61²= (x+49)²+x²
3721=x²+98x+2401+x²
On simplification,
x²+49x-660=0
Find the factors
(x+60)(x-11)=0
x=-60, x=11
Consider positive value for height
height = 11 inches
To learn more about the rectangle from the given link
https://brainly.com/question/25292087
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