Let us now construct a rectangle with the given measurements
(i) length and breadth
(ii) a side and a diagonal

**Construction
of a Rectangle**

Let us now
construct a rectangle with the given measurements

(i) length
and breadth

(ii) a side
and a diagonal

** **

__1. Construction
of a rectangle when its length and breadth are given__

**Example 5.38**

Construct
a rectangle BEAN with BE = 5 *cm* and BN
= 3 *cm*. Also find its area.

*Solution:*

**Given: **BE = 5 *cm* and BN = 3 *cm*

**Steps:**

1. Draw a
line segment BE = 5 *cm*.

2. At B,
construct *BX* ⊥ *BE*
.

3. With B
as centre, draw an arc of radius 3 *cm*
and let it cut BX at N.

4. With E
and N as centres, draw arcs of radii 3 *cm*
and 5 *cm* respectively and let them cut
at A.

5. Join EA
and NA.

6. BEAN is
the required rectangle.

**Calculation of Area:**

**Area of rectangle BEAN** = *l* × *bsq*.*units*

= 5 × 3 =15 *sq*.*cm*

** **

__2. Construction
of a rectangle when a side and a diagonal are given__

**Example 5.39**

Construct
a rectangle LIME with LI = 6 *cm* and IE
= 7 *cm*. Also find its area.

*Solution:*

**Given: **LI = 6 *cm* and IE = 7 *cm*

**Steps:**

1. Draw a
line segment LI = 6 *cm*.

2. At L,
construct *LX* ⊥ *LI*
.

3. With I
as centre, draw an arc of radius 7 *cm*
and let it cut LX at E.

4. With I
as centre and LE as radius draw an arc. Also, with E as centre and LI as radius
draw an another arc. Let them cut at M.

5. Join IM
and EM.

6. LIME is
the required rectangle.

**Calculation of Area:**

**Area of rectangle LIME** = *l* × *b sq*.*units*

= 6 ×3.6 = 21.6 *sq*.*cm*

Tags : Questions with Answers, Solution | Geometry | Chapter 5 | 8th Maths , 8th Maths : Chapter 5 : Geometry

Study Material, Lecturing Notes, Assignment, Reference, Wiki description explanation, brief detail

8th Maths : Chapter 5 : Geometry : Construction of a Rectangle | Questions with Answers, Solution | Geometry | Chapter 5 | 8th Maths

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