Question

The breath of a rectangle is 4 cm less than it's length . if the length is increased by 4 CM and the breath is decreased by 1 CM the area of the rectangle is by 40 cm find the length breath of the recyangle​

Answer 1

Correct Question:

The breadth of a rectangle is 4 cm less than its length. If the length is increased by 4 cm and breadth is decreased by 1 cm , the area of the rectangle is increased by 40 cm. Find the length and breadth of the rectangle.

Step-by-step explanation:

Let the length of the rectangle be x cm.

Given that,

★ The breadth of the rectangle is 4 cm less than its length.

Then,

• Breadth = (x-4) cm

Area of the rectangle,

= Length × Breadth

= x × (x-4) cm²

= x²-4x cm²

If the length is increased by 4 cm and the breadth is decreased by 1 cm, the area is increased by 40 cm.

Then,

• Length = (x+4) cm
• Breadth= (x-4-1) = (x-5) cm

Area of the new rectangle,

= (x+4)(x-5) cm²

= (x² -5x+4x-20) cm²

= (x² -x-20) cm²

According to the question,

x²-x-20 = x²-4x+40

→ -x-20=-4x +40

→ -x+4x = 40+20

→ 3x = 60

→ x = 20

★ Length of the rectangle = 20 cm

★ Breadth of the rectangle = (20-4) = 16 cm

${\underline{\sf{Therefore,\: length\:is\:20\:cm\:and\: breadth\:is\:16\:cm.}}}$

Answer 2

Answer:

⭐Correct QUESTION

✏The breadth of a rectangle is 4 cm less than its length. If the length is increased by 4 cm and breadth is decreased by 1 cm , the area of the rectangle is increased by 40 cm. Find the length and breadth of the rectangle.

➡Let the length of the rectangle be x cm.

⭐Given that,

▶ The breadth of the rectangle is 4 cm less than its length.

✏Then,

⚫Breadth = (x-4) cm

▶Area of the rectangle,

=> Length × Breadth

=> x × (x-4) cm²

=> x²-4x cm²

✏If the length is increased by 4 cm and the breadth is decreased by 1 cm, the area is increased by 40 cm.

▶Then,

⚫Length = (x+4) cm

⚫Breadth= (x-4-1) = (x-5) cm

➡Area of the new rectangle,

=>(x+4)(x-5) cm²

=> (x² -5x+4x-20) cm²

=> (x² -x-20) cm²

➡According to the question,

=> -x-20=-4x +40

=> -x+4x = 40+20

=> 3x = 60

=> x = 20

✍ Length of the rectangle. = 20 cm

✍ Breadth of the rectangle = (20-4) = 16 cm

▶ Hence, the answer is

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Step-by-step explanation:

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