Question

Amit wants to buy a rectangular field whose perimeter is (4²+6ab+2b²)units. if its length is (a+b)² units, then find its breadth.

Answer 1

Answer:

4²+0⁵=4⁶

leanth =56

breath=12

formula (2×L+b)

use this formula and do it

hope it is helpful

Step-by-step explanation:

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Answer 2

"It seems this is what you are looking for"

Amit wants to buy a rectangular field whose perimeter is (4a²+6ab+2b²)units. if its length is (a+b)² units, then find its breadth.

Answer:

The breadth of the rectangular field is equal to a(a+b).

Step-by-step explanation:

Given:

Perimeter of the rectangle $=(4a^{2}+6ab+2b^{2})$units

Length of rectangle $L=(a+b)^{2}$

We know perimeter of a rectangle $=2(L+B)$

⇒  $(4a^{2}+6ab+2b^{2})=2(a+b)^{2}+2B$

⇒   $2B=4a^{2}+6ab+2b^{2}-2(a+b)^{2}$

⇒   $2B=4a^{2}+6ab+2b^{2}-2a^{2}-4ab-2b^{2}$

⇒   $2B=2a^{2}+2ab$

∴     $B=a^{2}+ab$

or   $B=a(a+b)$

Therefore the breadth will be equal to a(a+b).