Question

REST is a square.It's diagonal meet at O.Find the length of the diagonals , if OR = 4x+2 and OT= 3x+7 (lengths are in cm)

Answer 1

Answer:

The word "associative" comes from "associate" or "group"; the Associative Property is the rule that refers to grouping. For addition, the rule is "a + (b + c) = (a + b) + c"; in numbers, this means 2 + (3 + 4) = (2 + 3) + 4. For multiplication, the rule is "a(bc) = (ab)c"; in numbers, this means 2(3×4) = (2×3)4.

Answer 2

Answer:

Length of the diagonals is 22cm

Explanation:

We know that,

In a square the diagonals are equal.

So, we can say that the diagonals OR = OT

According to the question,

→ OR = OT

We are given with,

• $\rm OR = (4x + 2)$
• $\rm OT = (3x + 7)$

Then,

$\rm \implies \: (4x + 2) = (3x + 7)$

$\rm \implies \: 4x + 2 = 3x + 7$

$\rm \implies \: 4x - 3x = 7 - 2$

$\rm \implies \: x = 5$

$\therefore \rm \: x = 5$

Hence, the diagonals are :-

• $\rm OR = (4x + 2) = 4(5) + 2 = 22cm$

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Note:

Property of square,

• All diagonals are equal.