Question

B 4 cm C

6. The length of a rectangular plot of land is twice its breadth. If the
perimeter of the plot be 180 metres, then find its area. (3)
Th

Answer 1

The length and breadth of the rectangular plot are found using the given information. The area is calculated using the formula A = L * B, giving the result as 800 square cm.

Step-by-step explanation:

Let's use variables to represent the length and breadth of the rectangular plot of land.

Let the breadth = B cm

The length is mentioned to be twice the breadth, so the length = 2B cm

Perimeter of a rectangular plot is given by the formula P = 2(L + B)

Substituting the given values, we have 180 = 2(2B + B)

Solving this equation, we find B = 20 cm

Therefore, the length is 2B = 2(20) = 40 cm

Now, we can calculate the area of the rectangular plot using the formula A = L * B

Thus, the area of the plot is 40 cm * 20 cm = 800 square cm

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