Question

ABCD is a rhombus. Find AB. Give answer as a fraction in simplest form.
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Answer 1

Answer: 97/3

>>>>> 97 over 3

Explanation:

Answer 2

The length of AB = 97/3 units

Explanation:

• The length of CD = 7x+2

• The length of BC = 4x+15

We know that a rhombus is a quadrilateral whose four sides all have the same length.

Thus, the equation becomes

7x+2 = 4x+15

7x-4x = 15-2

3x = 13

x = 13/3

So, the length of CD = 7x+2 = 7(13/3)+2

= 91/3 + 2

= 97/3

And, the length of BC = 4x+15 = 4(13/3) + 15

= 97/3

• We already know that a rhombus is a quadrilateral whose four sides all have the same length.

Thus, the length of AB = 97/3 units