Suppose the length of the base b of a rectangle is increased by 20 percent and the length of the altitude h is increased by 40 percent. (a) Write an expression, in terms of b, that represents the length of the base of the rectangle after the 20% increase.

(b) Write an expression, in terms of h, that represents the length of the altitude of the rectangle after the 40% increase.

(c) Write an expression, in terms of b and h, that represents the area of the rectangle after both the lengths of the base and altitude are increased.

(d) Increasing a rectangle's base by 20% and altitude by 40% will increase the area by what percentage?

9514 1404 393

  (a) 1.2b

  (b) 1.4h

  (c) A = 1.68bh

  (d) 68%

Step-by-step explanation:

(a) If 20% of b is added to b, you have ...

  b + 0.20b = 1.2b

__

(b) Similarly, if 40% of h is added to h, you have ...

  1.4h

__

(c) The area of the new rectangle is the product of the new dimensions:

  A = (1.2b)(1.4h)

  A = 1.68bh

__

(d) The original rectangle area is A = bh, so the percentage change can be computed as ...

  (A'/A -1)×100% = ((1.68bh)/(bh) -1)×100% = (1.68 -1)×100% = 68%

The given increases in base and height increase the area by 68%.

69

step-by-step explanation:

you need more information to answer this question

step-by-step explanation: