Nila K.
asked • 10/03/17Find the area and the perimeter of the rectangle shown. Express your answers in simplified radical form.
Rectangle is 8 cm diagonal and length or width is 6cm
More
1 Expert Answer
Carol H. answered • 10/03/17
Tutor
4.9
(285)
Masters' Degree in Mathematics with 35 Years of Teaching Experience
Let l = the length
The diagonal is the hypotenuse of a right triangle, and the width is one of the sides. Use the Pythagorean Theorem to find the length.
62 + l2 = 82
36 + l2 = 64
l2 = 28
l = √28
length = 2√7 cm
A = lw
A = 2√7 (6)
A = 12√7 cm2
P = 2l + 2w
P = 2(2√7) + 2(6)
P = 4√7 + 12 cm
Still looking for help? Get the right answer, fast.
Ask a question for free
Get a free answer to a quick problem.
Most questions answered within 4 hours.
OR
Find an Online Tutor Now
Choose an expert and meet online. No packages or subscriptions, pay only for the time you need.
Courtney M.
10/03/17