Question

Given parallelogram abcd, sides as marked. find ad ; dc=3x+5, ab=6x-10, ad=4x-5

Answer 1

Answer:

$(3x + 5 )(6x - 10)(4x - 5) \\3x + 5 - 6x + 10 - 4x + 5 \\ 9x - 4x + 20 \\ 5x + 20 \\ x = 4$

it is the right answer of this question

Answer 2

Answer:

Given,

ABCD is a parallelogram.

DC=3x+5.

AB=6x-10.

AD=4x-5.

To Find,

Length of side AD.

Solution,

We can simply find the solution to this problem by using some properties of a parallelogram.

As we know, opposite sides of a parallelogram are equal.

This means, AB=DC.

By substituting the values we get.

3x+5= 6x-10.

Solving for x, 3x=15.

x=5.

Putting the value of x in AD.

AD= 4x-5.

AD= 4×5 - 5.

AD= 20-5.

AD= 15.

Hence, the length of side AD= 15.