Best Answer

If you have two pairs of numbers whose sum is the same, their product increases as the two numbers get nearer to half the sum. The product is a maximum at that value.

70 * 30 = (50+20)*(50-20)

The right hand side is the factorisation of the difference of two squares, and can be shown to be equal to

502 - 202

Since 202 must be positive (it is a square), 70*30 must be less.

For all values of x, (50+x)*(50-x) is less than or equal to 50*50=2500

with equality attained only when x = 0.

Q: Why does the area of 70 times 30 equal 2100 but the area of 50 times 50 equal 2500 square feet?

Write your answer...

Submit

Still have questions?

Continue Learning about Math & Arithmetic

2,500 ft2 = ~232.3 m2

They are equal. Kilogram means thousand grams. 2.5 times 1000 equals 2500.

210 x 10 = 2100 220 x 10 = 2200 230 x 10 = 2300 240 x 10 = 2400 250 x 10 = 2500

2500 is a perfect square number, it can be written as 50*50.

One square meter equals 10.76 square feet. Divide 2500 / 10.76 to get 232.3 square meters.

Related questions

78.125

2500 (square feet) = 232.2576 square meters.

60 times.

2,500 ft2 = ~232.3 m2

The iron age

i either same question

It is 100 times larger. if you were to times 25 by 100 it would equal 2500. if you were to divid 2500 by 100 it would equal 250. if you had 25 chairs and wanted 100 times the amount, you would end up with 2500. you moved the decimal place two points - meaning you times by 100 because it has two zeros.

2,500 square feet is equal to about 277.7 square yards.

The square root of 2500 is 50

Multiply 50 times 50 = 2500 square feet (ft2).

2500*2500=6250000, so 2500 is the square root of 6250000.

There are three of them: 2200, 2300 and 2400.