Question

*Which of the following pairs of measurements CANNOT be used to construct a rectangle?*

1️⃣ Opposite sides
2️⃣ Adjacent sides
3️⃣ A side & perimeter
4️⃣ A side & area​

Answer 1

Answer:

Correct option is 1. Opposite sides

2) Adjacent Sides :When we have given adjacent sides, one vertex is common in both. Thus, we can draw right angle from that vertex and thus both the sides of rectangle can be plotted easily. Once adjacent sides are plotted, remaining two sides are plotted using property of rectangle that opposite sides are congruent.

3) A Side and Perimeter :

When a side and perimeter is given, we can calculate other side by using formula, P = 2 (1+ b). Once we know both the sides, we can easily construct the rectangle.

4) A Side & Area :

When a side and an area is given, we can easily calculate the remaining side by using the formula for area of rectangle as, A =1x b. Once we know both the sides, we can easily construct the rectangle.

1) Opposite Sides :

Thus, it is not possible to construct rectangle when opposite sides are given as no any vertex is common in them.

Step-by-step explanation:

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