The diagonal length of the photo frame having measurements of 8 inches in length and 7 inches in width is <u>10.63 inches</u>.
<h3>How is the diagonal of a rectangle determined?</h3>
The diagonal of a rectangle having a length l and width w will be:
d = √(l² + w²).
<h3>How to solve the question?</h3>
In the question, we are asked to determine the diagonal length of the photo frame bought by Mike, having measurements of 8 inches in length and 7 inches in width.
We know the photo frame is in the shape of a rectangle, as it has a length and a width.
We also know that the diagonal of a rectangle having a length l and width w will be:
d = √(l² + w²).
So, by substituting l = 8 and w = 7, in the above relation, we can calculate the diagonal of the photo frame as:
d = √(8² + 7²),
or, d = √(64 + 49),
or, d = √113,
or, d = 10.63.
Therefore, the diagonal length of the photo frame having measurements of 8 inches in length and 7 inches in width is <u>10.63 inches</u>.
Learn more about the diagonal of a rectangle at
brainly.com/question/23008020
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