Question

The distance between the opposite corners of a rectangular plot is 30m the length of the plot is 24m calculate the breadth

Answer 1

Answer:

ALL questions on higher education paper NOT your note.

All necessary details of working must be shown on the answer papers.

Use pencil for diagrams.

Orderly and Clear presentation of work will attract full marks

PART I (THEORY)

HIGH STANDARD MATHEMATICS FOR JSS2

(UBE EDITION)

REVIEW EXERCISE 8a № 1, 4, 8, 11 and 12 p 75:

REVIEW EXERCISE 15 № 1, 2, 7, 8 and 11 pp 179-180

NEW GENERAL MATHEMATICS FOR JSS2 UBE EDITION

EXERCISE 17d № 9 p173 :

EXERCISE 17c № 2 p171:

EXERCISE 20d № 11 p200:

EXERCISE 21c № 2 and №4 p206

CHECKPOINT MATHS 2 NEW EDITION

EXERCISE 26.2 №3 p242

PART II (PROJECT)

Measure the floor of your room and draw to scale the plan

on a plain paper(A4)

Design a polygon using matchsticks, broomsticks

or straws on hardboard.

The best work will be displayed.

ASSIGNMENT DETAILS:

HIGH STANDARD

Answer 2

The correct answer is 18 cm.

Given: The distance between the opposite corners of a rectangular plot = 30m.

Length of the plot = 24m.

To Find: Breadth of rectangle.

Solution:

The distance between the opposite corners is the diagonal of rectangle.

Length = 24 cm.

So, in this case a right angled triangle is formed.

As we know all the angles of a rectangle are right angles.

The length is base, diagonal is hypotenuse and breadth is height.

$d^{2} =l^{2} +b^{2}$  (d is diagonal, l is length, b is breadth).

$30^{2}=24^{2} +b^{2}$

900 = 576 + $b^{2}$

$b^{2} =900-576$

$b^{2} =324$

b = 18 cm

Hence, the breadth is 18 cm.

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