Two garen plots are to have the same area. One is square and one is rectangular. The rectangular plot is 2 meters wide and 32 meters long. How large is one side of the square garden plot in meters?

Length l = 8 m

The length of one side of the square is 8 m

Step-by-step explanation:

The area of a rectangle is;

Area = length × breadth

Given;

Length = 32 m

Breadth = 2 m

Area of the rectangle can be expressed as;

A = 32 × 2 = 64 m^2

Area of a square is;

Area = length × length = l^2

Since the area of the square is equal to the area of the rectangle, then the area of the square is 64 m^2

A = l^2

64 = l^2

l = √64

l = 8 m

The length of one side of the square is 8 m

hello,

b) 62.47% of the students are between 14 and 18 years old.

step-by-step explanation:

mean = 15 and standard deviation = 2

student between 14 to 18

formula used z-score

for age 14 , z score

using z-table , p(z> -0.5)=0.3085

for age 18 , z score

using z-table , p(z< 1.5)=0.9332

p(-0.5< z< 1.5)=0.9332-0.3085 = 0.6247

thus, 62.47% of the students are between 14 and 18 years old.

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