Final answer:
The shed, measuring 5.3m in length, will not fit in the garden, as the length and width of the garden are each approximately 5.22m, derived from the square root of the given area of 27.3 m².
Step-by-step explanation:
To determine if the shed will fit in the garden at the new house in Sunderland, we need to calculate the dimensions of the garden and compare them to the dimensions of the shed. The area of the garden is 27.3 m², and since it's a square, both the length and the width of the garden are the square root of the area. Hence:
To determine if the shed will fit in the garden as required, we need to compare the dimensions of the shed with the available area in the garden. The shed's length is 5.3m, which is longer than any of the sides of the garden. Therefore, we need to find the maximum possible length that can fit in the garden.
To find the maximum length, we need to calculate the square root of the garden's area. The square root of 27.3 m2 is approximately 5.226 m. Since the shed's length is longer than this, it will not fit in the garden as required.
Therefore, the shed will not fit in the garden with its length parallel to one of the garden walls.
√(27.3 m²) = 5.22 m (approx.)
So, both the length and the width of the garden are approximately 5.22 m. The shed measures 5.3m in length, which is slightly longer than the side of the garden. Therefore, the shed will not fit in the garden when placed parallel to one of the rear garden walls, as it exceeds the length of the garden's side.