Question

Mary has a rectangular garden that measures 16 yards by 8 yards. One of the long sides runs along a​ wall, and Mary wishes to use fencing to finish enclosing the garden. How much fencing does she​ need? How many square yards does she have for planting her​ garden?

Answer 1

Answer:

32 yards, 128 square yards.

Step-by-step explanation:

Given:

Length of rectangular garden = 16 yards

Breadth of rectangular garden = 8 yards

One of the long sides runs along a​ wall.

Mary wishes to use fencing to finish enclosing the garden.

To find:

How much fencing does she​ need ?

How many square yards does she have for planting her​ garden means area of rectangular garden = ?

Solution:

To find that how much fencing she need we must know that we have three side to fence because at one side there is a wall so no need to fence and we have one length and two breadth.

She need for fencing = perimeter of rectangular garden - one side length  

                                   = $2(length + breadth) - 16$

                                   = $2(16+8) - 16$

                                   = $2(24) - 16$

                                   = $48 - 16 = 32$ yards

Thus, She need 32  yards for fencing the rectangular garden.

Now, we will find How many square yards she have for planting her​ garden.

Area of rectangular garden = $length\times bredth$

                                              = $16\times8 = 128$

Thus, she have 128 square yards for planting her​ garden.