Question

D6 The perimeter of a rectangular plot is 200m. Its length is 4 times the breadth of the
ectangular plot. Find length and breadth of the plot.​

Answer 1

Answer:

Length = 80 m

Breadth = 20 m

Explanation:

P = 2(L + B)

200 = 2(L + B)

L + B = 100 -> Eq. 1

L = 4 × B

L = 4B -> Eq. 2

Put Eq. 2 in 1

4B + B = 100

5B = 100

B = 20

Using Eq. 2:

L = 4(20)

L = 80

Answer 2

★ǫᴜᴇsᴛɪᴏɴ:-

• The perimeter of a rectangular plot is 200m. Its length is 4 times the breadth of the rectangular plot. Find length and breadth of the plot.

★ᴛᴏ ғɪɴᴅ:-

• Length and breadth of the plot.

★ɢɪᴠᴇɴ:-

• Perimeter of rectangle = 200m

★sᴏʟᴜᴛɪᴏɴ:-

☞Let the breadth be x.

so length = 4x

Now,

Perimeter of rectangle = 2(l + b)

200 = 2(4x + x)

200 = 8x + 2x

200 = 10x

x = $\frac{200}{10}$

x = 20

☞Now,

• Breadth of the plot = 20m
• Length of the plot = 4 × 20 = 80m

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