The area of
of a rectangle is (14x^4 + 7x^2) cm²
and its breadth is 7x^2 cm. Find its length.

2x^1+1

Step-by-step explanation:

Area=L X W

which means that (14x^4+7x^2) needs to be divided by 7x^2

factorise(14x^4+7x^2) which gives 7x(2x^2+1)

divide 7x(2x^2+1) by 7x^2

gives 2x^2 +1

The area of a rectangle is (14x^4 + 7x^2) cm²

and its breadth is 7x^2 cm.

it's length is :---

(2x^2+1) cm is the right answer.

answer: whenever you have an increase, you multiply by (100% + increase%) and whenever you have a decrease you multiply by (100% - decrease%). so for each pair, let's do that. a 30% increase followed by a 15% decrease. = ? (1 + 0.3)*(1 - 0.15) = 1.3*0.85 = 1.105. result is greater than original. a 70% increase followed by a 50% decrease. = ? (1 + 0.7)*(1 - 0.5) = 1.7 * 0.5 = 0.85. result is less than original. a $35 decrease followed by a $25 increase = ? tricky. no percentages. so -35 + 25 = -10. so value is less than original. a 50% increase followed by a 33/1/3% decrease. = ? (1 + 0.5)*(1 - 0.) = 1.5 * 0.7 = 1. result is same as original. a 50% decrease followed by a 100% increase. = ? (1 - 0.5)*(1 + 1) = 0.5 * 2 = 1. result is same as original.