Exercise 1

Calculate the area and perimeter of a rectangle with a base of 10 cm and a height of 6 cm.

Exercise 2

Calculate the number of trees that can be planted in a rectangular field which is 32 m long and 30 m wide if each tree needs 4 m² to grow.

Exercise 3

Calculate the area of the quadrilateral that results from drawing lines between the midpoints of the sides of a rectangle whose base and height are 8 and 6 cm respectively.

Exercise 4

Calculate the number of square tiles needed to cover a rectangular surface of 4 m by 3 m if the length of each side of the tiles is 10 cm.

Exercise 5

A rectangular garden has dimensions of 30 m by 20 m and is divided in to 4 parts by two pathways that run perpendicular from its sides. One pathway has a width of 8 dm and the other, 7 dm. Calculate the total usable area of the garden.

Exercise 6

Calculate the length of the diagonal of a rectangle with a base of 10 cm and a height of 6 cm.

Exercise 7

A rectangular field has a length of 170 m and a width of 28 m. Calculate:

1 The area of the field in hectares.

2 The price to re-seed the field if each square meter costs 15.                       					   						 						 					</div>                                           </section><section id="am" style=""> 					 					  <h2>Solution of exercise 1</h2>                        Calculate the area and  perimeter of a rectangle with a base of 10 cm and a height of 6 cm. 							  						 <img src="https://www.superprof.co.uk/resources/wp-content/uploads/2019/06/194-15615375585051-5709.gif" />  							  P = 2 · (10 + 6) = <span class="esmeralda">32 cm</span>                               A = 10 · 6 = 60 cm²  						 					                      					  <h2>Solution of exercise 2</h2>                         Calculate the number of trees that can be planted in a rectangular field which is 32 m long and 30 m wide if each tree needs 4 m² to grow. A =  32 ·  30 =  960 m² 					    960   : 4 = <span class="sol">240 trees </span> 						 					                      					  <h2>Solution of exercise 3</h2>                         Calculate the area of the quadrilateral that results from drawing lines between the midpoints of the sides of a rectangle whose base and height are 8 and 6 cm respectively. <img src="https://www.superprof.co.uk/resources/wp-content/uploads/2019/06/103-15615375585796-6051.gif"     >	 				                               <img src="https://www.superprof.co.uk/resources/wp-content/uploads/2019/06/330-15615375587254-3267.gif"     >                          <img src="https://www.superprof.co.uk/resources/wp-content/uploads/2019/06/331-15615375587951-1881.gif"     > 						 					                      					  <h2>Solution of exercise 4</h2>                        Calculate the number of square tiles  needed to cover a rectangular surface of 4 m by 3 m if the length of each side of the tiles is 10 cm. A<sub>S</sub> = 4  · 3 =  12 m² = 120,000 cm² 				      A<sub>B</sub> = 10 · 10 = 100 cm² 					    120,000 : 100 =  <span class="sol">1,200 tiles</span>  						 					                      					  <h2>Solution of exercise 5</h2>                         A rectangular garden has dimensions of 30 m by 20 m and is divided in to 4 parts by two pathways that run perpendicular from its sides. One pathway has a width of 8 dm and the other, 7 dm. Calculate the total usable area of the garden.                             <img src="https://www.superprof.co.uk/resources/wp-content/uploads/2019/06/99-15615375588826-4547.gif"     >                            8 dm  = 0.8 m                           h = 20 - 0.8 = 19.2 m                           7 dm = 0.7 m                           b = 30 - 0.7 = 29.3m                           A<sub>J</sub> = 19.2 · 29.3  = <span class="sol">562.56 m² </span> 						 					                      					  <h2>Solution of exercise 6</h2>                          Calculate the length of the diagonal of a rectangle with a base of 10 cm and a height of 6 cm. 							 						  <img src="https://www.superprof.co.uk/resources/wp-content/uploads/2019/06/194-15615375589933-9137.gif" />  							  <img src="https://www.superprof.co.uk/resources/wp-content/uploads/2019/06/195_1-15615375592567-4870.gif"     >                               <img src="https://www.superprof.co.uk/resources/wp-content/uploads/2019/06/195_2-15615375593469-7988.gif"     > 						 					                      					  <h2>Solution of exercise 7</h2>                        A rectangular field has a length of 170 m  and a width of 28 m. Calculate: 		  <span class="numero_r">1</span>The area of the field in hectares. A =  170 ·  28 = 4,760 m²                         4,760 : 10,000 =<span class="sol"> 0. 476 ha </span>                         <span class="numero_r">2</span>The price to re-seed the field if each square meter costs15.

4 760 · 15 = $71,400

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Emma

I am passionate about travelling and currently live and work in Paris. I like to spend my time reading, gardening, running, learning languages and exploring new places.

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