Kirti has developed formulas to help her determine the size of her rectangular flower garden each spring. If she wants to plant n varieties of flowers, she determines the length, L, and the width, W, of her garden, in feet, according to the following formulas:L(n)=n+2W(n)=0.5n+1Let A be the area of Kirti's flower garden if she plants n types of flowers.Write a formula for A(n) in terms of L(n) and W(n).A(n)=Write a formula for A(n) in terms of n.A(n)=
Q. Kirti has developed formulas to help her determine the size of her rectangular flower garden each spring. If she wants to plant n varieties of flowers, she determines the length, L, and the width, W, of her garden, in feet, according to the following formulas:L(n)=n+2W(n)=0.5n+1Let A be the area of Kirti's flower garden if she plants n types of flowers.Write a formula for A(n) in terms of L(n) and W(n).A(n)=Write a formula for A(n) in terms of n.A(n)=
Area Formula: To find the area A of a rectangle, we use the formula A=L×W, where L is the length and W is the width of the rectangle.
Given Formulas: We are given the formulas for the length and width in terms of n: L(n)=n+2 and W(n)=0.5n+1.
Substitute into Area Formula: Substitute L(n) and W(n) into the area formula to get A(n) in terms of L(n) and W(n): A(n)=L(n)×W(n).
Perform Substitution: Now, perform the substitution using the given formulas: A(n)=(n+2)×(0.5n+1).
Multiply Expressions: To find A(n) in terms of n, we need to multiply the expressions for L(n) and W(n): A(n)=(n+2)×(0.5n+1)=0.5n2+n+1n+2.
Simplify Expression: Simplify the expression by combining like terms: A(n)=0.5n2+2n+2.
More problems from Write exponential functions: word problems