Question

6. A 5 m long and 75 cm wide saree is to be bordered with 6 cm wide lace. Find the cost of putting
the border at the rate of 0.50 per sq cm.​

Answer 1

Cost is 3378

Step-by-step explanation:

The total height of lace is 1126 cms:

1. For covering the height of the saree, the height of lace is 10mts i.e., 1000cms.

2. Since, the width of the lace is 6cms, the height of lace to cover the remaining border of the saree will be (75-12)*2 = 126cms

The area of the total lace will be 1126*6 cms^2

so, the cost will be 1126*6*0.5 = 3378/-

Answer 2

Given :-

Length of the saree = 5 m

Width of the saree = 75 cm

Width of the lace = 6 cm

Cost of putting the border per sq. m = 0.50

To Find :-

Area of the saree.

Area of the bordered lace.

Cost of putting the border.

Solution :-

We know that,

• l = Length
• b = Breadth
• a = Area

Given that,

Length (l) = 5 m = 500 cm (Since, 1 m = 100 cm)

Width of saree (b) = 75 cm

Let the area excluding the lace be ABCD

By the formula,

$\underline{\boxed{\sf Area \ of \ a \ rectangle= Length \times Breadth}}$

Substituting them,

Area = $\sf 500 \times 75$

Area = $\sf 37500 \ cm^{2}$

Given that,

6 m wide lace is bordered all around the area of the saree ABCD.

Let the area including the lace be PQRS

$\sf PS = AD + 6 \ cm + 6 \ cm$

Substituting them,

$\sf = (75 + 6 + 6) = 87 \ cm$

Next,

$\sf PQ = AB + 6 + 6$

Substituting them,

$\sf = (500 + 6 + 6) = 512 \ cm$

Area of a rectangle = Length × Breadth

According to the question,

∴ Area of rectangle PQRS = $\sf 87 \times 512$

Area = $\sf 44544 \ cm^{2}$

Now,

Area of bordered lace = Area of rectangle PQRS – Area of rectangle ABCD

Substituting their values,

Area of bordered lace = $\sf 44544 -37500$

Area = $\sf 7044 \ cm^{2}$

Therefore, the area of the bordered lace is 7044 cm²

Given that, the cost of putting  the border at the rate is 0.50 per sq. cm

Cost of 7044 cm² border = Cost per sq. cm × Area of the bordered lace

Substituting them,

Cost of 7044 cm² border = $\sf 0.50 \times 7044 = Rs. \ 3522$

Therefore, the cost of putting the border is Rs. 3522