Question

N
If its
13. Find the area in rectangular metres of a piece of
cloth 1 m 25 cm wide and 4 m long.
14. The perimeter of a rectangular grassy plot is
189 m and breadth is 10.5 m. Find the length
and area of the plot.
15. Find the area of the following figures by splitting
into rectangles.
​

Answer 1

Given :-

1. Piece of cloth is 1 m 25 cm wide and 4 m long
2. The perimeter of a rectangular grassy plot is 189 m and breadth is 10.5 m.

To find :-

1. Area of rectangular piece
2. Length and area of plot

Solution :-

According to the first question

• Length of cloth (l) = 4m
• Breadth of cloth (b) = 1m 25cm

→ 1m = 100cm

• Breadth of cloth = 1m + 25/100 = 1.25m

Now, area of rectangular piece of cloth

As we know that

Area of rectangle = length × breadth

Area of rectangle = 4 × 1.25

Area of rectangle = 5m²

So,

• Area of rectangular piece of cloth is 5m²

According to the second question

• Perimeter of rectangular grassy = 189m
• Breadth of rectangular grassy = 10.5m

As we know that

→ Perimeter of rectangle = 2(length + breadth)

→ 189 = 2(l + b)

→ 189 = 2(l + 10.5)

→ 189 = 2l + 21

→ 189 - 21 = 2l

→ 168 = 2l

→ l = 168/2 = 84m

Therefore, length of rectangular grassy is 84m

Now, area of rectangular grassy

→ length × breadth

Put the value of length and breadth

→ 84 × 10.5

→ 882m²

Hence,

• Area of rectangular grassy is 882m²