Five pieces of the same square board, the total area is 11.25 square meters, find the length of each side of the board

Five pieces of the same square board, the total area is 11.25 square meters, find the length of each side of the board


A single area is 11.25/5 = 2.25 square meters
Side length = root 2.25 = 1.5m



A piece of wood is 24 decimeters long and 18 decimeters wide. It is sawn into several same square boards. The square should have the largest area and be made of wood
A piece of wood is 24 decimeters long and 18 decimeters wide. It is required to be sawed into the same square wood. The area of the square is the largest and there is no wood left. What is the area of the square wood? How many pieces can be sawed?


The greatest common factor of 24 and 18 is 6, so the maximum side length of a square is 6 decimeters
Square board area is 6 × 6 = 36 square decimeters
How many pieces can be sawed (24 / 6) × (18 / 6) = 12 pieces



Saw a 1 / 2 meter wide wooden strip from a square board, the length is square, and the rest is 65 / 18 square meters. What's the area?


Let the side length of a square be x meters
x^2-1/2x=65/18
x^2-1/2x-65/18=0
18x^2-9x-65=0
(3x+5)(6x-13)=0
So x = - 5 / 3 or 13 / 6
Take positive number
x=13/6
13 / 6 * 1 / 2 = 13 / 12 M2
The sawn area is 13 / 12 square meters



The perimeter of a square board is four fifths of a meter, and the area of this square board is () square meters


Side length: 4 / 5 △ 4 = 1 / 5m
Area: 1 / 5 * 1 / 5 = 1 / 25 square meters
A: the perimeter of a square board is four fifths of a meter, and the area of this square board is (1 / 25) square meters