Question

This is a gardener's floor plan of their backyard. Enter the amount of grass, in square yards
needed to completely cover the backyard.

Answer 1

Step-by-step explanation:

that is a tiny, tiny backyard ...

what I see immediately is that the area is a combination of multiple simple figures :

1 square on top,

1 smaller rectangle in the middle,

1 larger rectangle at the bottom.

we only need to calculate the areas of all 3 figures and then add then up for the total.

that's it.

the top square is easy :

it is a 3cm×3cm square, so the area is 9 cm²

the bottom rectangle is also easy :

it is a 10cm×3cm rectangle, so the area is 30 cm²

for the dimensions of the middle rectangle we need to think a little bit :

the width (or "height") is clear : 3 cm.

what is the length ?

the answer is given by some other pieces of information in the diagram. look closely : is the length of the middle rectangle not the same as the sum of the side length of the top square (3 cm) and the top side segment left of the top square : 2 cm ?

yes, it is, so the length is 3+2 = 5 cm.

and the middle rectangle is 5×3 = 15 cm².

so, the total area is

9 + 30 + 15 = 54 cm²

this is a backyard for Barbie and Ken ...

Answer 2

Amount of grass in the backyard is 0.641 square yards    

               

What is a square?

Any 2-dimensional figure bounded by 4 sides whose all sides are equal and all the angles are 90° is called a square.

How to find the area of a square?

Area of a square can be found by squaring the length of one of its sides.

What is a rectangle?

Any 2-dimensional figure bounded by 4 sides whose opposites sides are equal and parallel and all the angles are 90° is called a rectangle.

How to find out area of a rectangle?

Area of a rectangle can be found by multiplying its length by its breadth.

How to calculate the area in the given problem?

The given figure is a combination of multiple figures.

• 1 square of length 3 cm on top
• 1 rectangle in the middle whose length is ( 2 + 3) cm = 5 cm, and breadth is 3 cm
• 1 larger rectangle at the bottom whose length is 10 cm and breadth is 3 cm.
• We will have to calculate these areas and sum up the areas to get the entire area.

• Area of the square at the top = ( 3 x 3) cm² = 9 cm²
• Area of the middle rectangle = ( 5 x 3) cm² = 15 cm²
• Area of the bottom rectangle = (10 x 3) cm² = 30 cm²

∴ Total area of the backyard = ( 9 + 15 + 30) cm² = 54 cm²

Amount of grass in the backyard = (54 x 0.109² ) square yards

                = 0.641 square yards               ( 1 cm = 0.109 yards)

Find out more information about area calculations here: https://brainly.com/question/1297098

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