Mathematics: A rectangular garden measures 15 meters by 24 meters. A larger garden is to be made by increasing each side by the same amount. The resulting area is to be 1.5 times the original area. Find the dimensions of the new garden to the nearest tenth to answer.

A rectangular garden measures 15 meters by 24

dragonstar9771

03.02.2022

19.2 m and 28.2 m

Step-by-step explanation:

Dimensions of a garden

Width = 15 mLength = 24 m

Sides increase = x

New area = 1.5 times of the original

Area

wl = 15*24 = 360 m²

New area (w + x)(l + x)

(15 + x)(24 + x) = 360*1.5x^2 + 39x + 360 = 540x^2 + 39x - 180 = 0

Positive root of the equation

x = 4.2 rounded to nearest tenth

New dimensions are:

15 + 4.2 = 19.2 m24 + 4.2 = 28.2 m

0,0(0 оценок)

nathanb126

26.04.2020

Step-by-step explanation:

B isn't right. The 0 makes x^2 go away leaving a linear equation.

A is a linear function.

D is a cubic, so the answer is

C which has an x^2 function

0,0(0 оценок)