Answered

Get the answers you need at Westonci.ca, where our expert community is dedicated to providing you with accurate information. Connect with a community of experts ready to provide precise solutions to your questions quickly and accurately. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.

the perimeter of a rectangle is 70 inches. the ratio of the length to width is 4:3. find the length of the diagonal of the rectangle.

Sagot :

2 steps to this problem.

1) Figure out the length of the sides. The perimeter is:

2L + 2W

We know that the width is [tex]\frac{3}{4} [/tex] of the length, so we can rewrite this to be 

2L + 2([tex]\frac{3}{4} [/tex])W

or in other words, 

3.5L = 70
-->
L = 20
--> 
W = 15

2. Figure out the length of the diagonal. The shape is a right triangle, so you can use the Pythagorean Theorem here. 

[tex] a^{2} + b^{2} = c^{2} [/tex]
--> 
[tex] 20^{2} + 15^{2} = c^{2} [/tex]
--> 
[tex] \sqrt{20^{2} + 15^{2}}[/tex] = diagonal length = 25
Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. Thank you for visiting Westonci.ca. Stay informed by coming back for more detailed answers.