If the base of a triangle is shortened by 60 percent, by what percent must the height be increased if the area is to remain the same?

150%

Step-by-step explanation:

The area is half base times height.  We want the product to be the same, so if we scale one factor by f, we have to scale the other factor by 1/f to compensate.

Reducing by 60% is multiplication by f=1-60/100 = 0.4

So we have to multiply the height by 1/0.4=2.5 to compensate.

A factor of 2.5 is an increase of 150%

Check:

(1-60/100)(1+150/100) = 1, good

answer is 8x+24

area of vanessa's patio = length × width

given, length = (3x² + 5x + 10)

width = (x² - 3x - 1)

area of vanessa's patio = (3x² + 5x + 10)(x² - 3x - 1)

= 3x²(x² - 3x - 1) + 5x(x² - 3x - 1) + 10(x² - 3x - 1)

= 3x⁴ - 9x³ - 3x² + 5x³ - 15x² - 5x + 10x² - 30x - 10

= 3x⁴ - 4x³ - 8x² - 35x - 10

hence, expression of vanessa's patio = (3x⁴ - 4x³ - 8x² - 35x - 10)

the answer is 0.000652422

but if you ment to ask what is 6131 divided by 4, it is 1532.75.

step-by-step explanation: