Question

Length of a rectangle is four times the breadth. What is the length of the
rectangle if its area is 1600 cm2?

Answer 1

Answer:

4*20 =80

Step-by-step explanation:

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Answer 2

Clarification:

Here, in the question we are given that length is 4 times the breadth ie 4b and area is 1600 cm².

So, we'll take breadth as "b". Then, breadth becomes 4b according to the question. Then, we'll form a linear equation to find the value of breadth.

After that, we'll multiply 4 and breadth to find length as length is 4 times the breadth.

Given Information:

• Length of the rectangle = 4 times the breadth

• Area of the rectangle = 1600 cm²

To calculate:

• Length

Calculation:

Let the breadth of the rectangle be "b".

According to the question,

• Length of the rectangle is 4 times the breadth i.e,

→ Length of the rectangle = 4b

Now, as we know that :

• Area of rectangle = Length × Breadth

Substituting values,

→ 1600 cm² = 4b cm × b cm

Performing multiplication.

→ 1600 cm² = 4b² cm²

Transposing 4 from RHS to LHS.

→ $\sf { \dfrac{1600 \: {cm}^{2} }{4\: cm} }$ = b² cm

Performing division.

→ 400 cm = b² cm

→ √400 = b cm

→ 20 = b cm

Henceforth,

Breadth ⇒ b ⇒ 20 cm

• Length ⇒ 2b ⇒ 4(20) cm ⇒ 80 cm

Therefore, length is 80 cm.