Explanation

Perimeter of rectangle = 2 × (Length + Width)

Given: 

Length = 58.7 

Width = 23.2

Perimeter = 2 × (58.7 + 23.2)

= 2 × 81.9

= 163.8

Last verified on 05-08-2026

Explanation

Use the work formula: 

Workers × Days × Hours per day / Units = constant

Case 1: 

30 workers, 20 days, 8 hours/day, 3000 units

Case 2: 

32 workers, D days, 10 hours/day, 2000 units

So,

(30 × 20 × 8) / 3000 = (32 × D × 10) / 2000

4800 / 3000 = 320D / 2000

1.6 = 0.16D

D = 1.6 / 0.16 = 10

Last verified on 05-08-2026

Explanation

Speed = 200 km/hr

Time from 12:24 PM to 2:12 PM:

From 12:24 to 1:24 = 1 hour

From 1:24 to 2:12 = 48 minutes

Total time = 1 hour 48 minutes = 1 + 48/60 = 1.8 hours

Distance = Speed × Time

Distance = 200 × 1.8

Distance = 360 km

Last verified on 05-08-2026

Explanation

Given: 

y = 2x 

z = 5y

First find z in terms of x:

z = 5y = 5 _ (2x) = 10x

Now substitute in x + 3y + z:

x + 3y + z = x + 3_(2x) + 10x

= x + 6x + 10x

= 17x

Last verified on 05-08-2026

Explanation

For the point $(a,-a)$:

$$x=a,y=-a$$

Therefore:

$$y=-x$$

$$Last\; updated\; 27-07-2026\; by\; NA$$

Explanation

Let the number of 20-cent coins = x
Then 50-cent coins = 54 − x

0.20x + 0.50(54 − x) = 20.70
x = 23

Last updated 27-07-2026 by NA

Explanation

22 km = 22,000 m

Circumference of wheel:

22000/500​=44 m

Using $C=\pi d$:

44=22​/7×d
$$d=14\text{m}$$

$$Last\; updated\; 27-07-2026\; by\; NA$$

Explanation

Given:

Write the terms as:

Using the formula:

For $n=10$:

Last updated 27-07-2026 by NA
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Explanation

Explanation

Given:

• $x+y=16$
• $x-y=3$

Using the identity:

x2−y2=(x+y)(x−y)
$$=16\times 3$$

=48

Last updated 27-07-2026 by NA
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