Question

the diagonal of a ractangular courtyard is 61m. if the lenght is 60m , find the area of a courtyard ?

Answer 1

If the diagnal is 61m and the length is 60



There are two triangles in this courtyard. Assume a triangle. The base is 60m, the hypotenuse is 61m, to find the height (width), we have to use the formula a2 + b2 = c2

602 + b2 = 612

b2 = 612 - 602

b2 = 121 ..... ......... ...... .......... ..... .... ........... using a2 - b2 = (a - b) (a + b)

b = 11 .... ........... ........... ........... ........ ....... .. square rooting both sides.

hence the heigh is 11m

The width is 11m

Hence the area is l x b = 60 x 11 = 660m



Hope this helps!!