Question

if the area of a rectangle is 1936 square cm if the length of the rectangle is 4 times its breadth find the dimension of the rectangle​

Answer 1

Answer:

Breadth of rectangle = 22 cm,

Length of rectangle = 88 cm

Step-by-step explanation:

Let breadth be x m

Then length = 4x.

Atq,

Area of a rectangle = length ×breadth

4x×x=1936

4x²=1936

x²=1936/4

X²=484

X=22

22 cm

X is the breadth of the rectangle

So breadth = 22cm

Length of rectangle = 4x

Length of rectangle = 4×22 = 88 cm

So dimensions of rectangle are 22 cm, 88 cm

Extra points :

Perimeter of rectangle = 2(length +breadth)

Area of rectangle = length×Breadth

Perimeter of square = 4×side

Area of square = side×side

Perimeter of circle = 2×pi×r

Area of circle = pi r²

In this question basic approach is we can solve length in terms of breadth and equate it to area of rectangle and hence we get the answer

Answer 2

Answer :-

• Dimensions of the room are 88cm & 22cm respectively.

Explanation :-

According to the Question

It is given that

• Area of rectangle = 1936 cm²

length of the rectangle is 4 times its breadth.

Let the breadth be x

then , the length be 4x

• Area of rectangle = Length × Breadth

Substitute the value we get

→ 1936 = 4x * x

→ 4x * x = 1936

→ 4x² = 1936

→ x² = 1936/4

→ x² = 484

→ x = √484

→ x = ± 22

Since , length can't be negative

therefore ,x = 22 cm

Now, length = 4 × 22 = 88cm

• Hence, the dimensions of the room are 88 cm & 22cm respectively .

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