Question

An area of land measures 735 metres by 756 metres. It is to be divided up into

square plots of equal size.
(a) What is the area of the largest squares that will fit on it?
(b) How many squares will fit on it?

Answer 1

See below!

Explanation:

Given:

Length = 735 meters

Width = 756 meters

Finding the area:

Area = length × width

Area = 735 × 756

Area = 555660 m²

Part a)

To find the area of largest square, we first need to find the highest common factor of 735 and 756.

HCF of 735 and 756:

= 21

This means the length of largest square will be 21 m.

Now,

Area of largest square:

= length × length

= 21 × 21

= 441 m²

Part b)

No. of squares = Total area / Area of largest square

No. of squares = 555660 / 441

No. of squares = 1260 squares

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